... Scienti c Research under Grant no FA9550- 06- 1-0 24 0 and the National Science Foundation under Grant no ECS- 060 1311 Wassim M Haddad et al 29 References T Hayakawa, W M Haddad, J M Bailey, and ... less conservative ultimate bounds for neuroadaptive controllers as compared to ultimate bounds derived using classical boundedness and ultimate boundedness notions Specifically, consider the discrete-time ... 1 /2 ex c ≤ c for a, b > and c > −1 Now, ≤ R1 /2 ex T 2ex AT P e ≤ c2 P 1 /2 ex s , c 1 P 1 /2 e 2 A .21 , and rearranging terms in A .20 yields ΔVe ex k , ez k , W k ≤− μ1 P 1 /2 ex k P 1 /2 ex k c 2...
... lin´aires du second ordre a e e e e [22 ] ` coefficients p´riodiques, Comptes Rendus Math´ matique Acad´ mie des Sciences paris 128 (1899), e e e 108 5 108 8 [23 ] Vl R˘ svan, Stability zones for discrete ... Hamiltonian difference systems: disconjugacy and Jacobi-type conditions, Journal of Mathematical Analysis and Applications 199 (19 96) , no 3, 804–8 26 [3] M Bohner and O Doˇl´ , Disconjugacy and transformations ... on discrete-time Hamiltonian systems is considered to be that of Hartman [ 16] (because it deals with disconjugacy, principal solutions, etc., which are directly connected with book’s topics),...
... 3.08 censored 3.55 2. 52 4.09 2 . 62 LPL at last litter (days) 503 4 56 595 481 non-censored 531 467 61 5 490 censored 401 397 485 4 12 Piglets born alive per parity 10. 57 1 . 62 9. 96 1.47 non-censored 10. 35 ... of censored: 26 7 4; btotal number of records: 9833, number of non- censored: 83 32, number of censored: 1501 was 26 . 4% in the Large White and 22 .3% in the Landrace database Landrace sows lived 92 ... J Dairy Sci 20 02, 85:1 563 -1577 16 Yazdi MH, Rydhmer L, Ringmar-Cederberg E, Lundeheim N, Johansson K: Genetic study of longevity in Swedish Landrace sows Livest Prod Sci 20 00, 63 :25 5- 26 4 17 Damgaard...
... containing the delayed states can be matched and canceled [24 – 26 ] In practice, there may be some nonsmooth, nonlinear input constraint, such as dead zone, backlash and hysteresis, which are common ... becomes much more difficult, since we cannot decide the direction along which the control operates Moveover, in discrete-time adaptive control the control directions are usually required to avoid ... adaptive control design In Section 3.3, we consider more complicated case of unmatched uncertainties Auxiliary states including both parametric and nonparametric uncertainties are introduced to facilitate...
... Bernstein & Haddad (1989) con‐ sidered merely the combined LQG/H ∞ control problem in the special case of Q = C1 T C1 and T R = D1 2 D1 2 andC1T D1 2 = Since the expected cost function J (Ac , Bc , Cc ) equals ... 0.54 96 − 0 .29 03 − 2. 023 7 p1 ,2 = − 0.0451 ± j0.1 8 62 X3>0 0.5398 − 0 .29 18 − 2. 0 363 p1 ,2 = − 0.0459 ± j0 .29 12 X4>0 0. 525 0 − 0 .2 940 − 2. 04 92 p1 ,2 = − 0.0470 ± j0. 368 6 X5>0 0.5 040 − 0 .2 969 − 2. 0 62 4 ... = C1 T C1 and R = D1 2 D1 2 and C1 T D1 2 = arisen from Bernstein & Haddad (1989) and Haddad et al (1991) is a mixed H 2/ H ∞ control problem Based on the above definition, we give sufficient conditions...
... (sec) CP TCPU FLP TCPU PFF TCPU 0.1 72 0 .29 8 0.384 0.500 0 .65 6 0.187 0.305 0.4 52 0 .60 2 0.754 0.8 26 1.475 1. 863 2. 5 52 3.137 1. 024 1.743 2. 454 3.3 06 4 .20 3 0.185 0. 310 0 .405 0.550 0 .69 1 0 .20 0 0. 340 ... k ⎦ d Γ44 ζk P A − LC − P + Q T Γ 12 = A − LC P Ad − Ld C Γ13 = M T (K1 , , Kq ) + A − LC T Γ14 = A − LC 22 = Ad − L dC T 23 = Ad − L dC T PΣ P d T Γ34 = Σ PΣ T P d ζk = d ζk = (67 ) (69 ) (71) ... (71) ( 72) d Γ44 = (Σ ) PΣ − Υ d (65 ) (70) Γ33 = Σ T PΣ − Υ T (64 ) (68 ) PΣ dd 24 = N T (K1 , , Kq ) + Ad − L dC (63 ) (66 ) P Ad − Ld C − Q d T ( 62 ) (73) d (74) T T T T [ζ 11 , , ζ 1s1 , ζ 21 ,...
... P1 2c, k := P 12, k|k−1 + P11,k|k−1 Mk P 12, k|k−1 , (60 ) T P2 2c, k := P 22, k|k−1 + P 12, k|k−1 Mk P 12, k|k−1 , (61 ) S1,k := P1 1c, k − P1 2c, k , ( 62 ) S2,k := P1 2c, k − P2 2c, k , (63 ) S3,k := T S1,k − S2,k (64 ) ... Ψ1,k T Ck Sk Ck + 2, k † , (69 ) ∗ † Φ∗ = Ak + ( Ak − Kk Ck ) P1 2c, k P2 2c, k − I , k (70) where † T Sk := P1 1c, k − P1 2c, k P2 2c, k P1 2c, k , Ψ1,k := 2, k := (71) T T Bw,k Wc,k Dw,k + Bv,k Vc,k Dv,k ... (mechanical, electrical, aerospace, civil and chemical), physics, economics, mathematics and biology Simon (20 06) A typical system dynamics can be represented as a transfer function or using the space-state...
... [-Ad,iYi(k )C2 d, i'(k)-Mi(k)(Hd,iHd,i’πi(k)+ C2 d, iYi(k )C2 d, i’)]Mi’(k) ∑ pd ,ij [-Ad,iYi(k )C2 d, i'(k)+ Ad,iYi(k )C2 d, i’]Mi’(k) i∈J ( k ) = i∈J ( k ) = i∈J ( k ) =0 which concludes the proof (Q.E .D. ) References ... Hybrid Systems: Computation and Control: 12th Conference, HSCC 20 09, San Francisco, CA, USA, April, 20 09, Proceedings, LNCS 5 469 , R Majumdar & P Tabuada (Eds.), pp 455-459, Springer, 3 -64 2- 0 060 19, ... J d ( rd ) and the dynamics can be written as follows: x(k+1)=Ad,m(k)(k)x(k)+Gd,m(k)(k) d( k)+B 2d, m(k)(k) ud ,c (k)+ r d ,c (k) where r d ,c (k)=B 2d, m(k){Du,m(k)(k)rd(k) +D u,m(k)(k)Em(k)( c (k+1),k)}+B 3d, m(k)(k)rd(k)...
... a2 ( k ) γ e2 ( k ) cc Dc ( k ) ˜ ¯ ¯ ˜ ¯ ¯ +[ θ T (k − n )φ(k − 1) + g T (k − n )u(k − n )] e(k) ≤ 2ac (k) c Dc ( k ) a2 ( k ) γ e2 ( k ) 2ac (k) c e2 (k) cc − Dc ( k ) Dc ( k ) 2ac (k) c ... uncertainty can be dealt with by feedback?, IEEE Transactions on Automatic Control 45( 12) : 22 03 22 17 22 8 Discrete Time Systems Xu, J.-X & Huang, D (20 09) Discrete-time adaptive control for a class ... both hand sides of (48), we obtain ∞ ∑ γ c (2 − γ c ) k =0 a2 ( k ) e2 ( k ) c ≤ Vc (0) − Vc (∞) Dc ( k ) 21 7 Discrete-Time Adaptive Predictive Control with Asymptotic Output Tracking which implies...
... Perturbed Measures for Complex Dynamics - Case Study: Unmanned Underwater Vehicles 25 7 The vehicle dynamics is described as (see Jordán & Bustamante, 20 0 9c; cf Fossen, 1994) v= M −1 C [v]v− D [|v|]v−g[η] ... Journal of Control 79 (10) : 127 7– 128 4 Xie, L L & Guo, L (20 00) How much uncertainty can be dealt with by feedback?, IEEE Transactions on Automatic Control 45( 12) : 22 03 22 17 Yang, C. , Dai, S.-L., ... Decentralized Adaptive Control of Discrete-Time Multi-Agent Systems 25 3 Acknowledgments This work is partially supported by National Nature Science Foundation (NSFC) under Grants 61 0 0405 9, 61 0 0413 9...
... Underwater Vehicles 27 5 and the mass variations are MbΔ+ = diag (10, 10, 10, 0 . 62 50, 4 .22 50, 3 .6) ( 86) MbΔ− = diag (20 , 20 , 20 , 1 .25 , 1 .25 , 0) (87) MaΔ+ = diag (6. 3, 15.4, 0.115, 0.115, 0. 26 1 , 0 .2 76) (88) ... Approach to Discrete-Time Adaptive Control Systems with Perturbed Measures for Complex Dynamics - Case Study: Unmanned Underwater Vehicles 26 5 The second component τ 2n of τ n was contained in ... Approach to Discrete-Time Adaptive Control Systems with Perturbed Measures for Complex Dynamics - Case Study: Unmanned Underwater Vehicles 27 1 where f1 ,f2 and f3 are bounded vector functions...
... , D1 = 0.1, A2 = 1.1A1 , C2 = 1. 1C1 , Dw2 = 1.1Dw1 Ad2 = 1.1Ad1 B2 = 1.1B1 Cd2 = 1.1Cd1 D2 = 1. 1D1 (97) (98) (99) (100 ) It is desired to design robust state feedback gains for control law (6) ... input delays, Journal of The Franklin Institute 338(1): 101 – 110 URL: http://www.sciencedirect.com/science/article/B6V04- 428 6KHS -9 /2/ 819 7c 8472fdf44 4d1 396b1 961 9d4 dcaf Zhang, H., Xie, L & Duan, D ... i ¯i ¯i ¯i ¯i ¯i ¯i ¯i 22 = ( A 12 ) T P11 A 12 + ( A 22 ) T ( P 12 ) T A 12 + ( A 12 ) T P 12 A 22 + ( A 22 ) T P 22 A 22 ¯i At this point, we declare A 22 is nonsingular from 22 < Otherwise, there is...