A New Approach to Bounded Real Lemma Representation for Linear Neutral Systems
|
|
- Τρυφωσα Χρυσάνθη Αγγελίδης
- 5 χρόνια πριν
- Προβολές:
Transcript
1 sariai@ee.knu. ac.ir agira@knu. ac.ir 3 labibi@knu. ac.ir (388// 388/9/8 : :. A New Approac o Boune Real Lemma Represenaion for Linear Neural Sysems Ala Sariai, Hami Reza agira an Baool Labibi Absrac: is paper is concerne wi boune real crierion for linear neural elay sysems. wo new elay-epenen boune real lemmas (BRLs are obaine in is paper, in wic, Lyapunov eory is use o erive e firs elay-epenen represenaion for BRL. Using a escripor moel ransformaion of e sysem an a new Lyapunov-Krasovskii funcional, a less conservaive boune real lemma is obaine compare o a of e firs BRL. en sufficien coniions for e sysem o possess an -norm less an a prescribe level, is given in erms of a linear marix inequaliy (LMI. e significan avanage of e erive boune real lemmas is eir efficiency in esigning conroller for e close-loop neural sysems wen elaye erm coefficiens epen on e conroller parameers. Numerical examples are given wic illusrae e effeciveness of our propose BRLs. Keywors: Boune Real Lemma (BRL, Neural sysem, escripor moel, Linear Marix Inequaliy (LMI..[4].[8]-[] -.[]-[3] Journal of Conrol, Vol. 3, No 4, Winer
2 47. K K. A j A j : x( = Ax ( + Ax ( τ + Ax( τ + Ew ( z ( = Cx ( + D ( ( ( (3 x τ + Dx τ + Dw x ( + θ = φ( θ θ [ τ,] w R p x z R q τ L [, E R np A A A R nn R nn R nn. D R q p D D C R q n R q n R q n.. N R nanb b(. R nb a(. R na :[7] X R nanb Ω a ( α Nb( α a( α X Y Na( α, Ω b( α Y N b( α X Y Ω Y >. R nanb Y R nanb - ([5]-[7] [8].[8]-[] [] Xu Wang..[] Sake Friman.[3]. [8] Xu.[5] [4]. []. [4] Cen Guo : ( = ( + ( i i x Ax A x k j = j n i = ( j ( + A x + Ew A j (. A j.. [6] : ( = ( + ( τ + ( τ + ( x Ax BK x BK x Ew ( Journal of Conrol, Vol. 3, No 4, Winer
3 48 Ω PA Y Y A τy PE + C D τa A R τa A A A R C * Q D D τa A R τa A ( AA R D * * R D D τa A R τ( A + AA ( A + AA R D * * * R τ ( A ( A R * * * * D D γ I τe E R τe A E A R < (5 * * * * * γ I τe E R * * * * * * τ * * * * * * * R * * * * * * * * τ * * * * * * * * * R * * * * * * * * * * I J < zw < γ zw. (=[ w ( w ( < γ ] J < J <. J < (3 (LMI.. (3 : (4 J(w < γ> τ > P Q R R w L [, R nn X Y X Y Y > X τy > τy R nn. (5-(7 ( Ω= A P+ PA+ Y + Y + τ X + X + Y + Y + Q (3 -. V = V+ V + V3 + V4 V = x( Px( = τ+ β V x ( α x( α β (6 (7. (8 (9 ( :. ( :[8] R y Q y S y R y S y Q( y S( y < S ( y R( y ( <, ( ( ( ( <, A M = B :[9] 3 : M = [ A B] { σ( A σ( B } σ( M { σ( A σ( B } max, max, I -3 γ >. ( = ( γ J w z z w w τ (4. (3 :[] 4 z < γ (3 ( = ( γ ( = ( γ J w z z w w τ J w z z τ. (=[ w ( w ( ] γ. < zw :[] : Journal of Conrol, Vol. 3, No 4, Winer
4 49 X Y > (5 Y φ(=, [-τ,] γ >.V(q( = = z ( = ( γ J w z z τ (6 w ( (6 ( = w ( z ( = ( J w z z γ w w γ w w τ : : V( V( = = ( J z ( w = z z γ w w γ w w V + ( τ + V( V( = ( z zγ w w γ w w + V ( τ { : Jz ( w x C Cx+ x C Dx( τ + xcdx ( τ + xcdw + x ( τ DDx( τ + x ( τ DDx ( τ + x ( τ DDw + x ( τ DDx( τ + x ( τ DDw + wddwγ ww γ ww + V (} τ ζ Πζ τ (7 : J z (8 ζ = x( x( τ x( τ x( τ w( w( Σ Σ Σ3 Σ4 Σ5 Σ 6 * Σ Σ3 Σ4 Σ5 Σ 6 * * Σ33 Σ34 Σ35 Σ 36 Π = * * * Σ44 Σ45 Σ 46 * * * * Σ55 Σ56 * * * * * Σ66 (9 V = x ( α Qx( α + x ( α R x( α 3 τ τ β 4 = ( ( τ τ + η + ( / x ( α R x( α, τ V τ x α x α ηβ ( ( R R Q P. V( = X Y 4 V i i = : V x { A P + PA + τ ( X + X / + Y+ Y + τ ( Y + Y } x + x (( PA Y x ( τ + x ( τ ( PA Y x ( + x (( PA Y x ( τ + x ( τ( PA Y x ( τ x ( Y x ( τ τ x ( τ Y x ( + x A ϒAx + x A A ϒAAx + x A ϒA x ( τ + x A A ϒAAx ( τ + x A A ϒ ( A + AA x ( τ + x A ϒAx ( τ + x A A ϒAx ( τ + x ( τ( A ϒAx ( τ + x ( τ( AA ϒAAx ( τ + x ( τ( A ϒAx ( τ + x ( τ( A A ϒ ( A + AA x ( τ + x ( τ( A A ϒAx( τ + x ( τ( A ϒAx( τ + x ( τ( A + AA ϒ ( A + AA x( τ + x ( τ ( A + AA ϒAx( τ + x ( τ( A ϒAx( τ + x ( Qx ( x ( τ Qx ( τ x ( τ Rx( x ( τ( R / x ( τ + x ( PEw ( + ( Ax ( + Ax ( τ + Ax ( τ + Ew (. ϒEw ( + x ( A A ϒEw ( + x ( τ ( A A ϒEw ( + x ( τ ( A + AA ϒEw( + x ( τ ( A ϒEw ( + w ( E A ϒEw ( + w ( E ϒ Ew( (3 ϒ = R/ + ( τ / ϒ = R+τ Y > (4 Journal of Conrol, Vol. 3, No 4, Winer
5 5 Ω PA Y Y A τy PE + C D τa A R τa A A A R C * Q D D τa A R τa A ( AA R D * * R τy D D τa A R τ ( A + AA ( A + AA R D * * * R τ ( A ( A R * * * * D D γ I τe E R τe A E A R < ( * * * * * γ I τ E E R * * * * * * τ * * * * * * * R * * * * * * * * τ * * * * * * * * * R * * * * * * * * * * I (5 (4 LMI Π< (5-(7. :. A A Y. (5 LMI Y. (3 (.A ( Y = [8]-[] A (5 LMI..... (3 : (4 J(w < γ> < τ τ w L [, P Q R R nn R X R nn Y R nn. (-( τ ( / Σ = A P + PA + Y + Y + X + X + Y + Y + Aϒ A + A A ϒ AA + Q + C C Σ ϒ ϒ = PA Y Y + A A + A A AA + C D Σ3 = PA τy + A ϒA + A A ϒ ( A + AA + C D Σ4 = A A ϒA Σ5 = PE + A ϒE + A A ϒAE + C D Σ6 = A A ϒE Σ = Q + A ϒA + ( AA ϒAA + D D Σ3 = A ϒA + D D + A A ϒ ( A + AA Σ = A A ϒ A 4 Σ5 = A ϒE + ( AA ϒAE + DD Σ6 = ( AA ϒE Σ33 = R + A ϒA + D D + ( A + AA ϒ( A + AA Σ34 = ( A + AA ϒA Σ35 = A ϒE + ( AA + A ϒAE + D D Σ36 = ( A + AA ϒE Σ44 = R /+ A ϒA Σ45 = A ϒAE Σ46 = A ϒE Σ55 = E ϒE + E A ϒAE + D D γ I Σ56 = E A ϒE Σ = E ϒ Eγ I 66 J z < Π< w (, w ( L [, 4. zw < γ. z < γ < z γ X Y Y > ( X = X /, = /, R = R /, Y = τ Y Journal of Conrol, Vol. 3, No 4, Winer
6 5 x ( = Ax ( + Ax ( τ + Ax ( τ + Ew ( : Λ J z ( ζ Πζ + x (( τy x( + x ( τ( τy x( τ τ J z < Y.Π< (4 LMI = Y < (7 ζ Π ζ <.Π<. ( ( (5 LMI τ Y = Y ( τ ( τ X Y Y > : : X = X / ( τ ( ( τ X Y / Y > ( τ ( ( τ ( τ ( ( τ (8 X Y / Y (9 X Y / Y > ( τ ( ( τ X Y / Y >. (8 (3 ( :3 V τ -.. :II - 4 (3 (3. : ( = y( = y( + Ax( + A x( τ + A y( τ + Ew( x X τ Y > τ Y ( ( τ Ω= A P PA Y Y τ X X Y Q ( - :. (8 -(. V( x (( τy x( τ Y = Y. Y= Y < V (3 x ( τ( τy x( τ : 4 i i= V( = V x { A P+ PA+ τ ( X + ( / X X Y ( } (( ( τ + Y+ Y + Y+ Y x+ x PA Y x + x ( PA x ( τ + x ( PEw( + ( x ( + x( τ ( τy ( x ( + x( τ x ( Yx( τ x ( τ Yx( + ( τ / x ( x( + ( / x ( Rx ( ( / x ( τ Rx ( τ + ( Ax + Ax ( τ + Ax ( τ + Ew( τ. ( Ax + Ax ( τ + Ax ( τ + Ew( + x ( Qx( x ( τ Qx( τ + x ( Rx ( x ( τ Rx ( τ + x ( ( τy x( + x ( τ( τy x( τ = Λ Y > X Y > Y Λ = Λ + x ( ( τy x( + x ( τ( τy x( τ (3 (4 (5. (3 Λ (6 Λ x( = ( / ( Ax( + Ax( τ + Ax ( τ + Ew( Journal of Conrol, Vol. 3, No 4, Winer
7 5 Q C Φ Y + P P A A E R τ A R τa Q D * R A R τ A D * * R A R τ A * * * D D γ I * * * * γ I E R τe < Q * * * * * R * * * * * * τ * * * * * * * R * * * * * * * * τ * * * * * * * * * I x( V = x ( y ( EnP y ( τ + β + τ+ β V = y ( α y( α β y ( α y( α β (36 (37 V3= x ( α Qx( α + y ( α Ry( α τ τ (38 + y ( α R y( α τ R R Q I n P,, En = P P P = = > P P 3 V V = x ( Px ( x ( = x ( y ( P y ( = x ( y ( P (39 Ax ( A x ( τ ( + + x ( y ( P y ( Ay ( τ ( + = x ( y ( P Ew ( τ τ x( τ = x( x ( α y ( τ = y ( y ( α - (4 (4 ( ( ( ( ( τ ( τ x I x En = y A I y x + w A A + y E I n En = ( (33 (3 (3.. (3.3 (4 J(w < γ> τ > w L [, P Q R R nn R X Y P P 3 R nn X Y Y. (33 (34 I A Φ = P + P+ τ X + Y + Y A I I I (34 P. P = P P3. (3 (3. (3 - V = V + V + V3 (35 Journal of Conrol, Vol. 3, No 4, Winer
8 53 Q x( ( ( R y( Q x( τ ( τ ( τ R y( τ ( ( ( τ ( τ (44 ( τ ( τ ( ( τ ( ( τ ( τ ( τ ( ( ( τ Ew( + y ( τ A REw( ( ( ( τ ( τ V 3 = x y x y y A R Ay y A R A y y A R A y + y A R A y + y A R A y + y A R A y + y A R Ew + y A R + w E R Ew y R y (43 (4 V = V + V + V : V 3, (44 I x ( V x ( y ( P A Iy ( x( x( + τ x ( y ( X x ( y ( Y y ( + y ( x ( τ + x ( y (( Y N + y ( τ + x ( y ( P w( E Q x x ( y ( ( + R+ τ+ A ( R+ τ A y ( Q x ( τ x ( τ y ( τ R y ( τ + y ( τ A ( R+ τ Ay( τ + y ( τ A ( R+ τ Ay( τ + y ( A ( R+ τ A y( τ + y ( A ( R+ τ A y ( τ + y ( τ A ( R+ τ Ay ( τ + y ( A ( R+ τ Ew ( + y ( τ A ( R+ τ Ew ( + y ( τ A ( R+ τ Ew( + w ( E ( R + τ Ew( y ( τ R y( τ (45 J ( w z zγ w w γ w w + V ( τ z = ( ξ Πξτ (46 ξ = x ( y ( x ( τ y ( τ y( τ w ( w( x ( V = x ( Px ( = x ( y ( P I x ( = x ( y ( P A A I A y ( + + x ( α x ( y ( P A A τ y ( α + x ( y ( P w ( E a( α = x ( b( α = cl xcl ( = x ( y ( τ x ( α N = P y ( α A A I V xcl P x cl A A I A + + X Y N xcl ( + x cl ( x cl ( α τ Y N x cl ( α + xcl ( P w ( E I = xcl P xcl + τ xcl ( Xxcl ( (4 A I + x ( Yx ( + x (( Y + N x ( τ cl cl cl cl y ( α + y ( α y ( α τ y ( α + xcl ( P w ( E X Y V 3 Y (4 V = = x ( ( ( τ τa A y ( + + τy ( τ A Ay( τ + τy ( τ A Ay( τ + τy ( A A y( τ + τy ( A A y ( τ (43 + τy ( τ A Ay ( τ + τy ( A Ew( + τy ( τ A Ew( + τy ( τ A Ew( + τw ( E Ew ( V x y y( α ( α ( α α y ( α y y τ Journal of Conrol, Vol. 3, No 4, Winer
9 54 Q C Φ Y + P P A A E R τ A R τ A Q D * R A R τ A D * * R A R τ A * * * D D γ I * * * * γ I E R τe < (47 Q * * * * * R * * * * * * τ * * * * * * * R * * * * * * * * τ * * * * * * * * * I 3 :4. LMI. (3. (45 τ.. (3 : w L [, J(w τ < τ( < τ X Y R nn P Q R R R nn (47 P P 3 R nn X Y Y I A Φ = P + P+ τ X + Y + Y A I I I. (48 (48 P. P = P P3 :5. Φ Y P P + A A E Q * Π = R * * R * * * DD γ I * * * * γ I + Λ Λ< I A Φ = P + P+ τ X + Y + Y A I I I Q C R τ A R τa D Λ = AR τ A D AR τ A ER τ E Q R τ = R τ I (33 LMI..J< Π< =. (34 (4. Journal of Conrol, Vol. 3, No 4, Winer
10 55.4. A = A = A = 5.5. E= [.5 ] C = [ ] D=.4 D = [. ] D = [.3.7] A D D 3 γ. τ γ (eorem γ (eorem 3. τ γ / /45 /64 / 3/ /4 /3 3/97 /55 /4 5/5 3/9 /5 6/47 3/97 /6 8/37 4/94 (3 H γ γ τ (eorem τ (Corollary. 3 τ τ /5 / /9 3 /8 /37 3/5 /5 /44 4 /3 /5 4/5 /35 /56 γ 3 5 /39 / (3 :. A = A = E = [.5 ].9 C = [ ] [8] [].D = D = A =. [] γ τ=/846.. Sake, Yaes an e Souza [] Du an ang [] Friman an Sake [] eorem eorem 3 γ /. / / / 3 γ [] /364. [] 3 γ. [8] [] [].. [8] γ 3. (3 3 : Journal of Conrol, Vol. 3, No 4, Winer
11 56 [8] Friman E., an Sake, U.,, "A Descripor Sysem Approac o Conrol of Linear ime- Delay Sysems", IEEE ransacion on Auomaic Conrol, 47,, 53-7 [9] Jiang, X., Han, Q. L., 5, "On Conrol for Linear Sysems wi Inerval ime-varying Delay", Auomaica, 4,, [] Xu, S., Lam, J. an ou, Y., 6, "New Resuls on Delay-epenen Robus Conrol for Sysems wi ime-varying Delays", Auomaica, 4,, [] Xu, S., Lam, J. an Yang, C.,, " an Posiive-Real Conrol for Linear Neural Delay Sysems", IEEE ransacions on Auomaic Conrol, 46, 8, [] Wang, Q., Lam, J., Xu, S., an ang, L., 6, "Delay-Depenen -Subopimal H Moel Reucion for Neural Sysems wi ime-varying Delays", ransacions of e ASME. Journal of Dynamic Sysems, Measuremen an Conrol, 8,, [3] Friman, E., Sake, U.,, "New Boune Real Lemma Represenaions for ime-delay Sysems an eir Applicaions", IEEE ransacions on Auomaic Conrol, 46,, [4] Guo, L., an Cen, W. H., 3, "Oupu Feeback H Conrol for a class of Uncerain Nonlinear iscree-ime Delay Sysems", ransacions of Insiue of Measuremen an Conrol, 5,, 7-. [5] Guo, L.,, "H Oupu Feeback Conrol for Delay Sysems wi Nonlinear an Parameric Uncerainies", IEE Proceeings-Conrol eory an Applicaions, 49, 3, [6] Sariai, A., agira, H. D. an Labibi, B., 9, "Delay-Depenen Sabilizaion of Linear Inpu- Delaye Sysems wi Composie Sae-Derivaive Feeback: Consan an ime-varying Delays", 7 Iranian Conference on Elecrical Engineering, 6-65, IUS, eran, Iran. [7] Moon, Y.S., Park, P., Kwon, W.H., Lee, Y.S.,, "Delay epenen robus sabilizaion of uncerain sae elaye sysems", Inernaional Journal of Conrol 74, [8] Boy, S.P., EL. Gaoui, L., Feron, E., 994, Balakrisnan, V., Liner Marix Inequaliies in Sysem an Conrol eory. SIAM, Pilaelpia, Pensylvania. [9] Skogesa, S., Poslewaie, I., 5, Mulivariable Feeback Conrol: Analysis an Design. Jon Willy & Sons, Englan. [] Sariai, A., agira, H. D. an Labibi, B., "Delay- Depenen Conrol of Linear Sysems wi ime- Varying Delay Using Sae-Derivaive Feeback", -6.. [6] [] Park, J.H., 5, "LMI Opimizaion Approac o Asympoic Sabiliy of Cerain Neural Delay Differenial Equaion wi ime-varying Coefficiens", Applie Maemaics an Compuaion, 6,, [] ang,., Wang, W., Yang, B., 7, "Delay an is ime-derivaive Depenen Robus Sabiliy of Neural Conrol Sysem", Applie Maemaics an Compuaion, 47,, [3] Li, Y., Xu, S., ang, B., Cu, Y., 8, "Robus Sabilizaion an H Conrol for Uncerain Fuzzy Neural Sysems wi Mixe ime Delays", Fuzzy Ses an Sysems, 59, [4] Dumirescu, B., 5 "Boune Real Lemma for FIR MIMO Sysems", IEEE Signal Processing Leers, Vol., No. 7, [5] Friman, E.,, "New Lyapunov-Krasovskii Funcionals for Sabiliy of Linear Reare an Neural ype Sysems", Sysems & Conrol Leers, 43, 4, [6] Han, Q.L., 5, "On Sabiliy of Linear Neural Sysems wi Mixe ime Delays: A Discreize Lyapunov Funcional Approac", Auomaica, 4, 7, 9-8. [7] Friman, E., 6, "Descripor Discreize Lyapunov Funcional Meo: Analysis an Design", IEEE ransacions on Auomaic Conrol, 5, 5, Journal of Conrol, Vol. 3, No 4, Winer
12 57 [] Du, H., ang, N., 7, "H conrol of acive veicle suspensions wi acuaor ime elay", Journal of Soun an Vibraion, 3, -, Submie o Journal of Opimizaion eory an Applicaions. [] Sake, U., Yaes, I. an e Souza, C., 998, "Boune Real Crieria for Linear ime-delay Sysems", IEEE ransacion on Auomaic Conrol, 43, 7, 6-. Journal of Conrol, Vol. 3, No 4, Winer
J. of Math. (PRC) u(t k ) = I k (u(t k )), k = 1, 2,, (1.6) , [3, 4] (1.1), (1.2), (1.3), [6 8]
Vol 36 ( 216 ) No 3 J of Mah (PR) 1, 2, 3 (1, 4335) (2, 4365) (3, 431) :,,,, : ; ; ; MR(21) : 35A1; 35A2 : O17529 : A : 255-7797(216)3-591-7 1 d d [x() g(, x )] = f(, x ),, (11) x = ϕ(), [ r, ], (12) x(
Διαβάστε περισσότεραVol. 40 No Journal of Jiangxi Normal University Natural Science Jul. 2016
4 4 Vol 4 No 4 26 7 Journal of Jiangxi Normal Universiy Naural Science Jul 26-5862 26 4-349-5 3 2 6 2 67 3 3 O 77 9 A DOI 6357 /j cnki issn-5862 26 4 4 C q x' x /q G s = { α 2 - s -9 2 β 2 2 s α 2 - s
Διαβάστε περισσότεραINDIRECT ADAPTIVE CONTROL
INDIREC ADAPIVE CONROL OULINE. Inroducion a. Main properies b. Running example. Adapive parameer esimaion a. Parameerized sysem model b. Linear parameric model c. Normalized gradien algorihm d. Normalized
Διαβάστε περισσότεραΠραγματοποιήσιμοι Δυναμικοί Ελεγκτές σε Ουδέτερα Συστήματα με Χρονικές Καθυστερήσεις για Βιομηχανικές Εφαρμογές ΔΙΔΑΚΤΟΡΙΚΗ ΔΙΑΤΡΙΒΗ
ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ ΣΧΟΛΗ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ ΚΑΙ ΜΗΧΑΝΙΚΩΝ ΥΠΟΛΟΓΙΣΤΩΝ ΤΟΜΕΑΣ ΣΗΜΑΤΩΝ ΕΛΕΓΧΟΥ ΚΑΙ ΡΟΜΠΟΤΙΚΗΣ Πραγματοποιήσιμοι Δυναμικοί Ελεγκτές σε Ουδέτερα Συστήματα με Χρονικές Καθυστερήσεις
Διαβάστε περισσότεραΕΡΓΑΣΙΑ ΜΑΘΗΜΑΤΟΣ: ΘΕΩΡΙΑ ΒΕΛΤΙΣΤΟΥ ΕΛΕΓΧΟΥ ΦΙΛΤΡΟ KALMAN ΜΩΥΣΗΣ ΛΑΖΑΡΟΣ
ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΤΜΗΜΑ ΜΑΘΗΜΑΤΙΚΩΝ ΜΕΤΑΠΤΥΧΙΑΚΟ ΠΡΟΓΡΑΜΜΑ ΣΠΟΥΔΩΝ ΘΕΩΡΗΤΙΚΗ ΠΛΗΡΟΦΟΡΙΚΗ ΚΑΙ ΘΕΩΡΙΑ ΣΥΣΤΗΜΑΤΩΝ & ΕΛΕΓΧΟΥ ΕΡΓΑΣΙΑ ΜΑΘΗΜΑΤΟΣ: ΘΕΩΡΙΑ ΒΕΛΤΙΣΤΟΥ ΕΛΕΓΧΟΥ ΦΙΛΤΡΟ KALMAN ΜΩΥΣΗΣ
Διαβάστε περισσότεραOscillation Criteria for Nonlinear Damped Dynamic Equations on Time Scales
Oscillaion Crieria for Nonlinear Damped Dynamic Equaions on ime Scales Lynn Erbe, aher S Hassan, and Allan Peerson Absrac We presen new oscillaion crieria for he second order nonlinear damped delay dynamic
Διαβάστε περισσότεραReservoir modeling. Reservoir modelling Linear reservoirs. The linear reservoir, no input. Starting up reservoir modeling
Reservoir modeling Reservoir modelling Linear reservoirs Paul Torfs Basic equaion for one reservoir:) change in sorage = sum of inflows minus ouflows = Q in,n Q ou,n n n jus an ordinary differenial equaion
Διαβάστε περισσότεραResilient static output feedback robust H control for controlled positive systems
31 5 2014 5 DOI: 10.7641/CA.2014.30666 Control heory & Applications Vol. 31 No. 5 May 2014 H,, (, 250100), (LMI),, H,,,,, H,, ; H ; ; ; P273 A Resilient static output feedback robust H control for controlled
Διαβάστε περισσότεραHMY 220: Σήματα και Συστήματα Ι
HMY 220: Σήματα και Συστήματα Ι ΔΙΑΛΕΞΗ #3 Ιδιάζοντα σήματα Βασικές κατηγορίες συστημάτων Διασυνδέσεις συστημάτων Ιδιάζοντα σήματα (singular signals) Τα ιδιάζοντα σήματα είναι σήματα τα οποία είναι ιδεατά
Διαβάστε περισσότεραNonlinear Analysis: Modelling and Control, 2013, Vol. 18, No. 4,
Nonlinear Analysis: Modelling and Conrol, 23, Vol. 8, No. 4, 493 58 493 Exisence and uniqueness of soluions for a singular sysem of higher-order nonlinear fracional differenial equaions wih inegral boundary
Διαβάστε περισσότεραNecessary and sufficient conditions for oscillation of first order nonlinear neutral differential equations
J. Mah. Anal. Appl. 321 (2006) 553 568 www.elsevier.com/locae/jmaa Necessary sufficien condiions for oscillaion of firs order nonlinear neural differenial equaions X.H. ang a,, Xiaoyan Lin b a School of
Διαβάστε περισσότερα3 Frequency Domain Representation of Continuous Signals and Systems
3 Frequency Domain Represenaion of Coninuous Signals and Sysems 3. Fourier Series Represenaion of Periodic Signals............. 2 3.. Exponenial Fourier Series.................... 2 3..2 Discree Fourier
Διαβάστε περισσότεραJ. of Math. (PRC) Banach, , X = N(T ) R(T + ), Y = R(T ) N(T + ). Vol. 37 ( 2017 ) No. 5
Vol. 37 ( 2017 ) No. 5 J. of Math. (PRC) 1,2, 1, 1 (1., 225002) (2., 225009) :. I +AT +, T + = T + (I +AT + ) 1, T +. Banach Hilbert Moore-Penrose.. : ; ; Moore-Penrose ; ; MR(2010) : 47L05; 46A32 : O177.2
Διαβάστε περισσότεραVol. 31,No JOURNAL OF CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY Feb
Ξ 31 Vol 31,No 1 2 0 0 1 2 JOURNAL OF CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY Feb 2 0 0 1 :025322778 (2001) 0120016205 (, 230026) : Q ( m 1, m 2,, m n ) k = m 1 + m 2 + + m n - n : Q ( m 1, m 2,, m
Διαβάστε περισσότεραApplying Markov Decision Processes to Role-playing Game
1,a) 1 1 1 1 2011 8 25, 2012 3 2 MDPRPG RPG MDP RPG MDP RPG MDP RPG MDP RPG Applying Markov Decision Processes to Role-playing Game Yasunari Maeda 1,a) Fumitaro Goto 1 Hiroshi Masui 1 Fumito Masui 1 Masakiyo
Διαβάστε περισσότεραAnaliza reakcji wybranych modeli
Bank i Kredy 43 (4), 202, 85 8 www.bankikredy.nbp.pl www.bankandcredi.nbp.pl Analiza reakcji wybranych modeli 86 - - - srice - - - per capia research and developmen dynamic sochasic general equilibrium
Διαβάστε περισσότεραAppendix. The solution begins with Eq. (2.15) from the text, which we repeat here for 1, (A.1)
Aenix Aenix A: The equaion o he sock rice. The soluion egins wih Eq..5 rom he ex, which we reea here or convenience as Eq.A.: [ [ E E X, A. c α where X u ε, α γ, an c α y AR. Take execaions o Eq. A. as
Διαβάστε περισσότεραOscillation criteria for two-dimensional system of non-linear ordinary differential equations
Elecronic Journal of Qualiaive Theory of Differenial Equaions 216, No. 52, 1 17; doi: 1.14232/ejqde.216.1.52 hp://www.mah.u-szeged.hu/ejqde/ Oscillaion crieria for wo-dimensional sysem of non-linear ordinary
Διαβάστε περισσότεραHigh order interpolation function for surface contact problem
3 016 5 Journal of East China Normal University Natural Science No 3 May 016 : 1000-564101603-0009-1 1 1 1 00444; E- 00030 : Lagrange Lobatto Matlab : ; Lagrange; : O41 : A DOI: 103969/jissn1000-56410160300
Διαβάστε περισσότερα6.003: Signals and Systems
6.3: Signals and Sysems Modulaion December 6, 2 Communicaions Sysems Signals are no always well mached o he media hrough which we wish o ransmi hem. signal audio video inerne applicaions elephone, radio,
Διαβάστε περισσότερα6.003: Signals and Systems. Modulation
6.3: Signals and Sysems Modulaion December 6, 2 Subjec Evaluaions Your feedback is imporan o us! Please give feedback o he saff and fuure 6.3 sudens: hp://web.mi.edu/subjecevaluaion Evaluaions are open
Διαβάστε περισσότεραUniversity of Washington Department of Chemistry Chemistry 553 Spring Quarter 2010 Homework Assignment 3 Due 04/26/10
Universiy of Washingon Deparmen of Chemisry Chemisry 553 Spring Quarer 1 Homework Assignmen 3 Due 4/6/1 v e v e A s ds: a) Show ha for large 1 and, (i.e. 1 >> and >>) he velociy auocorrelaion funcion 1)
Διαβάστε περισσότεραIdentification of MIMO State Space Model based on MISO High-order ARX Model: Design and Application
Korean Chem. Eng. Res., Vol. 45, No. 1, February, 2007, pp. 67-72 MISO y ARX m MIMO m m : j nk kjiçlslçm Çm * 121-742 ne e 1 *LS r l 431-080 kke k (2006 11o 20p r, 2006 12o 21p }ˆ) Idenificaion of MIMO
Διαβάστε περισσότεραTRM +4!5"2# 6!#!-!2&'!5$27!842//22&'9&2:1*;832<
TRM!"#$%& ' *,-./ *!#!!%!&!3,&!$-!$./!!"#$%&'*" 4!5"# 6!#!-!&'!5$7!84//&'9&:*;83< #:4
Διαβάστε περισσότεραER-Tree (Extended R*-Tree)
1-9825/22/13(4)768-6 22 Journal of Software Vol13, No4 1, 1, 2, 1 1, 1 (, 2327) 2 (, 3127) E-mail xhzhou@ustceducn,,,,,,, 1, TP311 A,,,, Elias s Rivest,Cleary Arya Mount [1] O(2 d ) Arya Mount [1] Friedman,Bentley
Διαβάστε περισσότεραLecture 6. Goals: Determine the optimal threshold, filter, signals for a binary communications problem VI-1
Lecue 6 Goals: Deemine e opimal esold, file, signals fo a binay communicaions poblem VI- Minimum Aveage Eo Pobabiliy Poblem: Find e opimum file, esold and signals o minimize e aveage eo pobabiliy. s s
Διαβάστε περισσότεραΠ Ο Λ Ι Τ Ι Κ Α Κ Α Ι Σ Τ Ρ Α Τ Ι Ω Τ Ι Κ Α Γ Ε Γ Ο Ν Ο Τ Α
Α Ρ Χ Α Ι Α Ι Σ Τ Ο Ρ Ι Α Π Ο Λ Ι Τ Ι Κ Α Κ Α Ι Σ Τ Ρ Α Τ Ι Ω Τ Ι Κ Α Γ Ε Γ Ο Ν Ο Τ Α Σ η µ ε ί ω σ η : σ υ ν ά δ ε λ φ ο ι, ν α µ ο υ σ υ γ χ ω ρ ή σ ε τ ε τ ο γ ρ ή γ ο ρ ο κ α ι α τ η µ έ λ η τ ο ύ
Διαβάστε περισσότεραMotion analysis and simulation of a stratospheric airship
32 11 Vol 32 11 2011 11 Journal of Harbin Engineering University Nov 2011 doi 10 3969 /j issn 1006-7043 2011 11 019 410073 3 2 V274 A 1006-7043 2011 11-1501-08 Motion analysis and simulation of a stratospheric
Διαβάστε περισσότεραΜοντέρνα Θεωρία Ελέγχου
ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΑΝΟΙΧΤΑ ΑΚΑΔΗΜΑΙΚΑ ΜΑΘΗΜΑΤΑ Ενότητα 8: Ομοιότητα και Όμοιες Περιγραφές Νίκος Καραμπετάκης Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative
Διαβάστε περισσότεραOptimal Stopping Time to Buy an Asset When Growth Rate Is a Two-State Markov Chain
American Journa of Operaions Researc, 4, 4, 3-4 Pubise Onine May 4 in SciRes. p://www.scirp.org/journa/ajor p://x.oi.org/.436/ajor.4.433 Opima Sopping Time o Buy an Asse Wen Grow Rae Is a Two-Sae Markov
Διαβάστε περισσότερα( ) ( t) ( 0) ( ) dw w. = = β. Then the solution of (1.1) is easily found to. wt = t+ t. We generalize this to the following nonlinear differential
Periodic oluion of van der Pol differenial equaion. by A. Arimoo Deparmen of Mahemaic Muahi Iniue of Technology Tokyo Japan in Seminar a Kiami Iniue of Technology January 8 9. Inroducion Le u conider a
Διαβάστε περισσότερα2. THEORY OF EQUATIONS. PREVIOUS EAMCET Bits.
EAMCET-. THEORY OF EQUATIONS PREVIOUS EAMCET Bits. Each of the roots of the equation x 6x + 6x 5= are increased by k so that the new transformed equation does not contain term. Then k =... - 4. - Sol.
Διαβάστε περισσότεραγ 1 6 M = 0.05 F M = 0.05 F M = 0.2 F M = 0.2 F M = 0.05 F M = 0.05 F M = 0.05 F M = 0.2 F M = 0.05 F 2 2 λ τ M = 6000 M = 10000 M = 15000 M = 6000 M = 10000 M = 15000 1 6 τ = 36 1 6 τ = 102 1 6 M = 5000
Διαβάστε περισσότεραΗ Πολυεδρική Προσέγγιση στην Ανάλυση και Σύνθεση Συστηµάτων Ελέγχου. Εργαστήριο Συστηµάτων Αυτοµάτου Ελέγχου
Η Πολυεδρική Προσέγγιση στην Ανάλυση και Σύνθεση Συστηµάτων Ελέγχου Εργαστήριο Συστηµάτων Αυτοµάτου Ελέγχου Η Τετραγωνική Προσέγγιση Ευκλείδια Απόσταση (Eucldean dstance) Ευκλείδια νορµ (Eucldean norm)
Διαβάστε περισσότεραParts Manual. Trio Mobile Surgery Platform. Model 1033
Trio Mobile Surgery Platform Model 1033 Parts Manual For parts or technical assistance: Pour pièces de service ou assistance technique : Für Teile oder technische Unterstützung Anruf: Voor delen of technische
Διαβάστε περισσότεραη η η η GAR = 1 F RR η F RR F AR F AR F RR η F RR F AR µ µ µ µ µ µ Γ R N=mxn W T X x mean X W T x g W P x = W T (x g x mean ) X = X x mean P x = W T X d P x P i, i = 1, 2..., G M s t t
Διαβάστε περισσότεραFeasible Regions Defined by Stability Constraints Based on the Argument Principle
Feasible Regions Defined by Stability Constraints Based on the Argument Principle Ken KOUNO Masahide ABE Masayuki KAWAMATA Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
Διαβάστε περισσότερα( ) ( ) ( ) Fourier series. ; m is an integer. r(t) is periodic (T>0), r(t+t) = r(t), t Fundamental period T 0 = smallest T. Fundamental frequency ω
Fourier series e jm when m d when m ; m is an ineger. jm jm jm jm e d e e e jm jm jm jm r( is periodi (>, r(+ r(, Fundamenal period smalles Fundamenal frequeny r ( + r ( is periodi hen M M e j M, e j,
Διαβάστε περισσότερα, Snowdon. . Frahm.
- :..... ( ). :., Snowdon.. Frohrib Jennige -.[ ]...[ ] Ghannadi-Asl Zahrai..,.[ ]... Frahm Frahm [ ] Den Hartog. mzahrai@ut.ac.ir, hashemif@conwag.com . - Den Hartog g(t)=0 ω f(t)=p 0 sinωt. ω y st =P
Διαβάστε περισσότεραIterative Learning Control with a Forgetting Factor for Consensus Tracking in Multi-Agent Systems
33 E-mal: hxx@zju.edu.c :... : Ierave Learg Corol wh a Forgeg Facor for Cosesus racg Mul-Age Sysems Jgy Zheg Xogxog He Ymg Wu Zhehua Q College of Iformao Egeerg Zhejag Uversy of echology Hagzhou 33 Cha
Διαβάστε περισσότεραA Control Method of Errors in Long-Term Integration
1,a) Hamilon Runge Kua Hamilonian 1/2 Runge Kua (Brouwer s law) Runge Kua Runge Kua Hamilonian 1/2 Brouwer 3 A Conrol Mehod of Errors in Long-Term Inegraion Ozawa Kazufumi 1,a) Absrac: When solving he
Διαβάστε περισσότεραis the home less foreign interest rate differential (expressed as it
The model is solved algebraically, excep for a cubic roo which is solved numerically The mehod of soluion is undeermined coefficiens The noaion in his noe corresponds o he noaion in he program The model
Διαβάστε περισσότεραA Determination Method of Diffusion-Parameter Values in the Ion-Exchange Optical Waveguides in Soda-Lime glass Made by Diluted AgNO 3 with NaNO 3
大阪電気通信大学研究論集 ( 自然科学編 ) 第 51 号 A Determination Method of Diffusion-Parameter Values in the Ion-Exchange Optical Waveguides in Soda-Lime glass Made by Diluted AgNO 3 with NaNO 3 Takuya IWATA and Kiyoshi
Διαβάστε περισσότεραΕΛΕΓΧΟΣ ΚΙΝΟΥΜΕΝΗΣ ΡΟΜΠΟΤΙΚΗΣ ΔΙΑΤΑΞΗΣ ΓΙΑ ΕΡΓΑΣΙΕΣ ΜΕ ΠΕΡΙΟΡΙΣΜΕΝΗ ΚΙΝΗΣΗ
ΕΛΕΓΧΟΣ ΚΙΝΟΥΜΕΝΗΣ ΡΟΜΠΟΤΙΚΗΣ ΔΙΑΤΑΞΗΣ ΓΙΑ ΕΡΓΑΣΙΕΣ ΜΕ ΠΕΡΙΟΡΙΣΜΕΝΗ ΚΙΝΗΣΗ Φώτης Ν. Κουμπουλής Νικόλαος Δ. Κούβακας και Ιωάννης Σταθαράς Τμήμα Αυτοματισμού ΤΕΙ Χαλκίδας 34 4 Ψαχνά Ευβοίας Τμήμα Τεχνολογίας
Διαβάστε περισσότεραHMY 799 1: Αναγνώριση Συστημάτων
HMY 799 : Αναγνώριση Συστημάτων Διαλέξεις 3 4 Παραμετροποιήσεις γραμμικών χρονικά αμετάβλητων συστημάτων Μοντέλα πρόβλεψης Μοναδικότητα Αναγνωρισιμότητα Τ y () = φ () θ + e () 2 Ee {()} = 0, E{ ee } =
Διαβάστε περισσότεραTeor imov r. ta matem. statist. Vip. 94, 2016, stor
eor imov r. ta matem. statist. Vip. 94, 6, stor. 93 5 Abstract. e article is devoted to models of financial markets wit stocastic volatility, wic is defined by a functional of Ornstein-Ulenbeck process
Διαβάστε περισσότεραSecond Order Partial Differential Equations
Chapter 7 Second Order Partial Differential Equations 7.1 Introduction A second order linear PDE in two independent variables (x, y Ω can be written as A(x, y u x + B(x, y u xy + C(x, y u u u + D(x, y
Διαβάστε περισσότεραMultiple positive periodic solutions of nonlinear functional differential system with feedback control
J. Mah. Anal. Appl. 288 (23) 819 832 www.elsevier.com/locae/jmaa Muliple posiive periodic soluions of nonlinear funcional differenial sysem wih feedback conrol Ping Liu and Yongkun Li Deparmen of Mahemaics,
Διαβάστε περισσότεραLevin Lin(1992) Oh(1996),Wu(1996) Papell(1997) Im, Pesaran Shin(1996) Canzoneri, Cumby Diba(1999) Lee, Pesaran Smith(1997) FGLS SUR
EVA M, SWEEEY R 3,. ;. McDonough ; 3., 3006 ; ; F4.0 A Levin Lin(99) Im, Pesaran Shin(996) Levin Lin(99) Oh(996),Wu(996) Paell(997) Im, Pesaran Shin(996) Canzoner Cumby Diba(999) Levin Lin(99) Coe Helman(995)
Διαβάστε περισσότεραΣύγχρονος Αυτόματος Έλεγχος. είναι το διάνυσμα ιδιοτιμών του πίνακα Α (Π2)
Σύγχρονος Αυτόματος Έλεγχος.Ορισμοί και Χρήσιμες Ιδιότητες (Π) (A) είναι το διάνυσμα ιδιοτιμών του πίνακα Α (Π) x x x... xn (Π3) Η «ιδιότητα του τριγώνου»: για οποιαδήποτε διανύσματα ισχύει x, y ότι x
Διαβάστε περισσότεραΣύγχρονος Αυτόματος Έλεγχος. (Π3) Η «ιδιότητα του τριγώνου»: για οποιαδήποτε διανύσματα ισχύει x, y ότι
Σύγχρονος Αυτόματος Έλεγχος 1.Ορισμοί και Χρήσιμες Ιδιότητες (Π1) λ(a) είναι το διάνυσμα ιδιοτιμών του πίνακα Α (Π) x = x 1 + x +... + xn (Π3) Η «ιδιότητα του τριγώνου»: για οποιαδήποτε διανύσματα ισχύει
Διαβάστε περισσότερα2002 Journal of Software
1000-9825/2002/13(02)0239-06 2002 Journal of Sofware Vol13, No2 -,, (, 100084) E-mail: shijing@mailssinghuaeducn; xingcx@singhuaeducn; dcszlz@singhuaeducn hp://dbgroupcssinghuaeducn : 10 12,, I/O -, -,,,
Διαβάστε περισσότεραNumerical Analysis FMN011
Numerical Analysis FMN011 Carmen Arévalo Lund University carmen@maths.lth.se Lecture 12 Periodic data A function g has period P if g(x + P ) = g(x) Model: Trigonometric polynomial of order M T M (x) =
Διαβάστε περισσότεραControl Theory & Applications PID (, )
26 12 2009 12 : 1000 8152(2009)12 1317 08 Control Theory & Applications Vol. 26 No. 12 Dec. 2009 PID,, (, 200240) : PID (PIDNN), PID,, (BP).,, PIDNN PIDNN (MPIDNN), (CPSO) BP, MPIDNN CPSO MPIDNN CRPSO
Διαβάστε περισσότεραl 0 l 2 l 1 l 1 l 1 l 2 l 2 l 1 l p λ λ µ R N l 2 R N l 2 2 = N x i l p p R N l p N p = ( x i p ) 1 p i=1 l 2 l p p = 2 l p l 1 R N l 1 i=1 x 2 i 1 = N x i i=1 l p p p R N l 0 0 = {i x i 0} R
Διαβάστε περισσότεραThe Euler Equations! λ 1. λ 2. λ 3. ρ ρu. E = e + u 2 /2. E + p ρ. = de /dt. = dh / dt; h = h( T ); c p. / c v. ; γ = c p. p = ( γ 1)ρe. c v.
hp://www.nd.ed/~gryggva/cfd-corse/ The Eler Eqaions The Eler Eqaions The Eler eqaions for D flow: + + p = x E E + p where Define E = e + / H = h + /; h = e + p/ Gréar Tryggvason Spring 3 Ideal Gas: p =
Διαβάστε περισσότεραNov Journal of Zhengzhou University Engineering Science Vol. 36 No FCM. A doi /j. issn
2015 11 Nov 2015 36 6 Journal of Zhengzhou University Engineering Science Vol 36 No 6 1671-6833 2015 06-0056 - 05 C 1 1 2 2 1 450001 2 461000 C FCM FCM MIA MDC MDC MIA I FCM c FCM m FCM C TP18 A doi 10
Διαβάστε περισσότεραAbstract Storage Devices
Abstract Storage Devices Robert König Ueli Maurer Stefano Tessaro SOFSEM 2009 January 27, 2009 Outline 1. Motivation: Storage Devices 2. Abstract Storage Devices (ASD s) 3. Reducibility 4. Factoring ASD
Διαβάστε περισσότεραEstimation of stability region for a class of switched linear systems with multiple equilibrium points
29 4 2012 4 1000 8152(2012)04 0409 06 Control Theory & Applications Vol 29 No 4 Apr 2012 12 1 (1 250061; 2 250353) ; ; ; TP273 A Estimation of stability region for a class of switched linear systems with
Διαβάστε περισσότεραProbabilistic Approach to Robust Optimization
Probabilistic Approach to Robust Optimization Akiko Takeda Department of Mathematical & Computing Sciences Graduate School of Information Science and Engineering Tokyo Institute of Technology Tokyo 52-8552,
Διαβάστε περισσότεραExistence of travelling wave solutions in delayed reaction diffusion systems with applications to diffusion competition systems
INSTITUTE OF PHYSICS PUBLISHING Nonlineariy 9 (2006) 253 273 NONLINEARITY doi:0.088/095-775/9/6/003 Exisence of ravelling wave soluions in delayed reacion diffusion sysems wih applicaions o diffusion compeiion
Διαβάστε περισσότεραPrey-Taxis Holling-Tanner
Vol. 28 ( 2018 ) No. 1 J. of Math. (PRC) Prey-Taxis Holling-Tanner, (, 730070) : prey-taxis Holling-Tanner.,,.. : Holling-Tanner ; prey-taxis; ; MR(2010) : 35B32; 35B36 : O175.26 : A : 0255-7797(2018)01-0140-07
Διαβάστε περισσότεραPositive solutions for a multi-point eigenvalue. problem involving the one dimensional
Elecronic Journal of Qualiaive Theory of Differenial Equaions 29, No. 4, -3; h://www.mah.u-szeged.hu/ejqde/ Posiive soluions for a muli-oin eigenvalue roblem involving he one dimensional -Lalacian Youyu
Διαβάστε περισσότεραAnti-aliasing Prefilter (6B) Young Won Lim 6/8/12
ni-aliasing Prefiler (6B) Copyrigh (c) Young W. Lim. Permission is graned o copy, disribue and/or modify his documen under he erms of he GNU Free Documenaion License, Version. or any laer version published
Διαβάστε περισσότεραΚεφάλαιο 1 Πραγματικοί Αριθμοί 1.1 Σύνολα
x + = 0 N = {,, 3....}, Z Q, b, b N c, d c, d N + b = c, b = d. N = =. < > P n P (n) P () n = P (n) P (n + ) n n + P (n) n P (n) n P n P (n) P (m) P (n) n m P (n + ) P (n) n m P n P (n) P () P (), P (),...,
Διαβάστε περισσότεραMaximum likelihood estimation of state-space models
Maximum likelihood esimaion of sae-space models Florian Chevassu 1 and Juan-Pablo Orega Absrac The use of he Kalman filer for esimaion purposes is no always an easy ask despie he obvious advanages in many
Διαβάστε περισσότερα= f(0) + f dt. = f. O 2 (x, u) x=(x 1,x 2,,x n ) T, f(x) =(f 1 (x), f 2 (x),, f n (x)) T. f x = A = f
2 n dx (x)+g(x)u () x n u (x), g(x) x n () +2 -a -b -b -a 3 () x,u dx x () dx () + x x + g()u + O 2 (x, u) x x x + g()u + O 2 (x, u) (2) x O 2 (x, u) x u 2 x(x,x 2,,x n ) T, (x) ( (x), 2 (x),, n (x)) T
Διαβάστε περισσότεραES440/ES911: CFD. Chapter 5. Solution of Linear Equation Systems
ES440/ES911: CFD Chapter 5. Solution of Linear Equation Systems Dr Yongmann M. Chung http://www.eng.warwick.ac.uk/staff/ymc/es440.html Y.M.Chung@warwick.ac.uk School of Engineering & Centre for Scientific
Διαβάστε περισσότερα2 ~ 8 Hz Hz. Blondet 1 Trombetti 2-4 Symans 5. = - M p. M p. s 2 x p. s 2 x t x t. + C p. sx p. + K p. x p. C p. s 2. x tp x t.
36 2010 8 8 Vol 36 No 8 JOURNAL OF BEIJING UNIVERSITY OF TECHNOLOGY Aug 2010 Ⅰ 100124 TB 534 + 2TP 273 A 0254-0037201008 - 1091-08 20 Hz 2 ~ 8 Hz 1988 Blondet 1 Trombetti 2-4 Symans 5 2 2 1 1 1b 6 M p
Διαβάστε περισσότεραSimplex Crossover for Real-coded Genetic Algolithms
Technical Papers GA Simplex Crossover for Real-coded Genetic Algolithms 47 Takahide Higuchi Shigeyoshi Tsutsui Masayuki Yamamura Interdisciplinary Graduate school of Science and Engineering, Tokyo Institute
Διαβάστε περισσότεραTheory and Effectiveness Evaluation of the Chinese Government s Intervention in the Housing Market
28 1 2011 1 Saisical Research Vol. 28 No. 1 Jan. 2011 2003 6 2005 2006 2004 C812 A 1002-4565 2011 01-0027 - 09 Theory and Effeciveness Evaluaion of he Chinese Governmen s Inervenion in he Housing Marke
Διαβάστε περισσότεραACTA MATHEMATICAE APPLICATAE SINICA Nov., ( µ ) ( (
35 Þ 6 Ð Å Vol. 35 No. 6 2012 11 ACTA MATHEMATICAE APPLICATAE SINICA Nov., 2012 È ÄÎ Ç ÓÑ ( µ 266590) (E-mail: jgzhu980@yahoo.com.cn) Ð ( Æ (Í ), µ 266555) (E-mail: bbhao981@yahoo.com.cn) Þ» ½ α- Ð Æ Ä
Διαβάστε περισσότεραAppendix to On the stability of a compressible axisymmetric rotating flow in a pipe. By Z. Rusak & J. H. Lee
Appendi to On the stability of a compressible aisymmetric rotating flow in a pipe By Z. Rusak & J. H. Lee Journal of Fluid Mechanics, vol. 5 4, pp. 5 4 This material has not been copy-edited or typeset
Διαβάστε περισσότερα[4-7] Rosenbrock ( ) Runge-Kutta(RK)
28 3 2011 06 CHINESE JOURNAL OF ENGINEERING MATHEMATICS Vol. 28 No. 3 June 2011 :1005-30852011)03-0335-08 2- BDF, 411105) : 1- BDF) 2- : 2- : AMS2000) 90C29 : O221.4 : A 1 ) [1,2] Petzold [3] ) ) [4-7]
Διαβάστε περισσότεραΔΙΠΛΩΜΑΤΙΚΕΣ ΕΡΓΑΣΙΕΣ
ΔΙΠΛΩΜΑΤΙΚΕΣ ΕΡΓΑΣΙΕΣ ΤΜ. ΜΗΧΑΝΙΚΩΝ ΠΛΗΡΟΦΟΡΙΚΗΣ & ΤΗΛΕΠΙΚΟΙΝΩΝΙΩΝ 2018-2019 Επιβλέπουσα: Μπίμπη Ματίνα Ανάλυση της πλατφόρμας ανοιχτού κώδικα Home Assistant Το Home Assistant είναι μία πλατφόρμα ανοιχτού
Διαβάστε περισσότερα16. 17. r t te 2t i t 1. 18 19 Find the derivative of the vector function. 19. r t e t cos t i e t sin t j ln t k. 31 33 Evaluate the integral.
SECTION.7 VECTOR FUNCTIONS AND SPACE CURVES.7 VECTOR FUNCTIONS AND SPACE CURVES A Click here for answers. S Click here for soluions. Copyrigh Cengage Learning. All righs reserved.. Find he domain of he
Διαβάστε περισσότεραAx = b. 7x = 21. x = 21 7 = 3.
3 s st 3 r 3 t r 3 3 t s st t 3t s 3 3 r 3 3 st t t r 3 s t t r r r t st t rr 3t r t 3 3 rt3 3 t 3 3 r st 3 t 3 tr 3 r t3 t 3 s st t Ax = b. s t 3 t 3 3 r r t n r A tr 3 rr t 3 t n ts b 3 t t r r t x 3
Διαβάστε περισσότεραResearch on real-time inverse kinematics algorithms for 6R robots
25 6 2008 2 Control Theory & Applications Vol. 25 No. 6 Dec. 2008 : 000 852(2008)06 037 05 6R,,, (, 30027) : 6R. 6 6R6.., -, 6R., 2.03 ms, 6R. : 6R; ; ; : TP242.2 : A Research on real-time inverse kinematics
Διαβάστε περισσότεραΣήματα και Συστήματα. Διάλεξη 3: Εισαγωγή στα Συστήματα. Δρ. Μιχάλης Παρασκευάς Επίκουρος Καθηγητής
Σήματα και Συστήματα Διάλεξη 3: Εισαγωγή στα Συστήματα Δρ. Μιχάλης Παρασκευάς Επίκουρος Καθηγητής 1 Εισαγωγή στα Συστήματα 1. Ορισμός και Κατηγορίες Συστημάτων Συστήματα Συνεχούς Χρόνου Συστήματα Διακριτού
Διαβάστε περισσότεραΑ Ρ Ι Θ Μ Ο Σ : 6.913
Α Ρ Ι Θ Μ Ο Σ : 6.913 ΠΡΑΞΗ ΚΑΤΑΘΕΣΗΣ ΟΡΩΝ ΔΙΑΓΩΝΙΣΜΟΥ Σ τ η ν Π ά τ ρ α σ ή μ ε ρ α σ τ ι ς δ ε κ α τ έ σ σ ε ρ ι ς ( 1 4 ) τ ο υ μ ή ν α Ο κ τ ω β ρ ί ο υ, η μ έ ρ α Τ ε τ ά ρ τ η, τ ο υ έ τ ο υ ς δ
Διαβάστε περισσότεραP P Ó P. r r t r r r s 1. r r ó t t ó rr r rr r rí st s t s. Pr s t P r s rr. r t r s s s é 3 ñ
P P Ó P r r t r r r s 1 r r ó t t ó rr r rr r rí st s t s Pr s t P r s rr r t r s s s é 3 ñ í sé 3 ñ 3 é1 r P P Ó P str r r r t é t r r r s 1 t r P r s rr 1 1 s t r r ó s r s st rr t s r t s rr s r q s
Διαβάστε περισσότεραΜοντέρνα Θεωρία Ελέγχου
ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΑΝΟΙΧΤΑ ΑΚΑΔΗΜΑΙΚΑ ΜΑΘΗΜΑΤΑ Ενότητα 7. Ισοδύναμες Περιγραφές Συστημάτων Νίκος Καραμπετάκης Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative
Διαβάστε περισσότεραSOLUTIONS & ANSWERS FOR KERALA ENGINEERING ENTRANCE EXAMINATION-2018 PAPER II VERSION B1
SOLUTIONS & ANSWERS FOR KERALA ENGINEERING ENTRANCE EXAMINATION-8 PAPER II VERSION B [MATHEMATICS]. Ans: ( i) It is (cs5 isin5 ) ( i). Ans: i z. Ans: i i i The epressin ( i) ( ). Ans: cs i sin cs i sin
Διαβάστε περισσότεραT : g r i l l b a r t a s o s Α Γ Ί Α Σ Σ Ο Φ Ί Α Σ 3, Δ Ρ Α Μ Α. Δ ι α ν ο μ έ ς κ α τ ο ί κ ο ν : 1 2 : 0 0 έ ω ς 0 1 : 0 0 π μ
Α Γ Ί Α Σ Σ Ο Φ Ί Α Σ 3, Δ Ρ Α Μ Α g r i l l b a r t a s o s Δ ι α ν ο μ έ ς κ α τ ο ί κ ο ν : 1 2 : 0 0 έ ω ς 1 : 0 π μ Δ ι α ν ο μ έ ς κ α τ ο ί κ ο ν : 1 2 : 0 0 έ ω ς 0 1 : 0 0 π μ T ortiyas Σ ο υ
Διαβάστε περισσότεραApr Vol.26 No.2. Pure and Applied Mathematics O157.5 A (2010) (d(u)d(v)) α, 1, (1969-),,.
2010 4 26 2 Pure and Applied Matheatics Apr. 2010 Vol.26 No.2 Randić 1, 2 (1., 352100; 2., 361005) G Randić 0 R α (G) = v V (G) d(v)α, d(v) G v,α. R α,, R α. ; Randić ; O157.5 A 1008-5513(2010)02-0339-06
Διαβάστε περισσότεραQuick algorithm f or computing core attribute
24 5 Vol. 24 No. 5 Cont rol an d Decision 2009 5 May 2009 : 100120920 (2009) 0520738205 1a, 2, 1b (1. a., b., 239012 ; 2., 230039) :,,.,.,. : ; ; ; : TP181 : A Quick algorithm f or computing core attribute
Διαβάστε περισσότεραD-Wave D-Wave Systems Inc.
D-Wave D-Wave sems Inc. Anaol Yu. mirnov D-Wave sems Inc. Vancouver Briish Columbia HE QUANUM COMPUING COMPANY M Decoherence and Noise Conrol in rongl Driven uperconducing Quanum Bis Collaboraion: M. Grajcar
Διαβάστε περισσότεραTechnical Notes for Discussion of Eggertsson, What Fiscal Policy Is Effective at Zero Interest Rates? Lawrence J. Christiano
Tecnical Noes for Discussion of Eggersson Wa Fiscal Policy Is Effecive a Zero Ineres Raes? Larence J Crisiano Te model a as simulaed for e discussion is presened in e firs secion Te simulaion sraegy is
Διαβάστε περισσότεραOn Strong Product of Two Fuzzy Graphs
Inernaional Journal of Scienific and Research Publicaions, Volume 4, Issue 10, Ocober 014 1 ISSN 50-3153 On Srong Produc of Two Fuzzy Graphs Dr. K. Radha* Mr.S. Arumugam** * P.G & Research Deparmen of
Διαβάστε περισσότεραibemo Kazakhstan Republic of Kazakhstan, West Kazakhstan Oblast, Aksai, Pramzone, BKKS office complex Phone: ; Fax:
Διαβάστε περισσότερα
On shift Harnack inequalities for subordinate semigroups and moment estimates for Lévy processes
Available online a www.sciencedirec.com ScienceDirec Sochasic Processes and heir Applicaions 15 (15) 3851 3878 www.elsevier.com/locae/spa On shif Harnack inequaliies for subordinae semigroups and momen
Διαβάστε περισσότεραJ J l 2 J T l 1 J T J T l 2 l 1 J J l 1 c 0 J J J J J l 2 l 2 J J J T J T l 1 J J T J T J T J {e n } n N {e n } n N x X {λ n } n N R x = λ n e n {e n } n N {e n : n N} e n 0 n N k 1, k 2,..., k n N λ
Διαβάστε περισσότεραD-Glucosamine-derived copper catalyst for Ullmann-type C- N coupling reaction: theoretical and experimental study
Electronic Supplementary Material (ESI) for RSC Advances. This journal is The Royal Society of Chemistry 2016 D-Glucosamine-derived copper catalyst for Ullmann-type C- N coupling reaction: theoretical
Διαβάστε περισσότεραNew conditions for exponential stability of sampled-data systems under aperiodic sampling
33 10 2016 10 DOI: 10.7641/CTA.2016.50818 Control Theory & Applications Vol. 33 No. 10 Oct. 2016,, (, 273165) :. Lyapunov, Lyapunov.,,. Lyapunov,, Wirtinger,.. : ; ; Lyapunov; : TP273 : A New conditions
Διαβάστε περισσότεραJou rnal of M athem atical Study
38 4 2005 12 Jou rnal of M athem atical Study V ol 38 o 4 D ec 2005 α (, 361005),, (SVV ), SVV, SVV, SVV - H elm holtz, (SEM ); (SVV ); O 174 52 A 1,, 1g, ( ),, 80,, ( [ 4 ]),,,, (e g [ 1 ]),, Gibbs,,,,,,
Διαβάστε περισσότερα(b) flat (continuous) fins on an array of tubes
(a) Individually finned ues () fla (coninuous) fins on an array of ues Eample Fins Fins on Segosaurus 3 Rekangulär fläns, Recangular fin. Z d f 4 Rekangulär fläns, Recangular fin. Z d f d αc d λ ( f )
Διαβάστε περισσότεραΠροσομοίωση Δημιουργία τυχαίων αριθμών
Σχολή Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών Εθνικό Μετσόβιο Πολυτεχνείο Επίδοση Υπολογιστικών Συστημάτων Α.-Γ. Σταφυλοπάτης Προσομοίωση Δημιουργία τυχαίων αριθμών Άδεια Χρήσης Το παρόν εκπαιδευτικό
Διαβάστε περισσότεραCenter Manifold Theory and Computation Using a Forward Backward Approach
College of William and Mary W&M Publish Undergraduae Honors Theses Theses, Disseraions, & Maser Projecs 4-217 Cener Manifold Theory and Compuaion Using a Forward Backward Approach Emily E. Schaal College
Διαβάστε περισσότεραw o = R 1 p. (1) R = p =. = 1
Πανεπιστήµιο Κρήτης - Τµήµα Επιστήµης Υπολογιστών ΗΥ-570: Στατιστική Επεξεργασία Σήµατος 205 ιδάσκων : Α. Μουχτάρης Τριτη Σειρά Ασκήσεων Λύσεις Ασκηση 3. 5.2 (a) From the Wiener-Hopf equation we have:
Διαβάστε περισσότεραNowhere-zero flows Let be a digraph, Abelian group. A Γ-circulation in is a mapping : such that, where, and : tail in X, head in
Nowhere-zero flows Let be a digraph, Abelian group. A Γ-circulation in is a mapping : such that, where, and : tail in X, head in : tail in X, head in A nowhere-zero Γ-flow is a Γ-circulation such that
Διαβάστε περισσότερα