Improved delay-dependent stability criteria for systems with nonlinear perturbations

European Journal of Control

Volumn 13, Issue 4, 2007, Pages 356-365

  He, Yong ^a,b   Liu, Guo Ping ^b,c   Rees, David ^b   Wu, Min ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c INSTITUTE OF AUTOMATION   (China)

Author keywords

Delay dependent; linear matrix inequality (LMI); nonlinear perturbations; time varying interval delay

Indexed keywords

DELAY CONTROL SYSTEMS; LYAPUNOV FUNCTIONS; NUMERICAL METHODS; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA; SYSTEM STABILITY; TIME DELAY;

DELAY DEPENDENT; DELAY DEPENDENT STABILITY CRITERION; DELAY-DEPENDENT ROBUST STABILITY; INTERVAL DELAY; LINEAR MATRIX IN EQUALITIES; LINEAR MATRIX INEQUALITY; LYAPUNOV FUNCTIONALS; NONLINEAR PERTURBATIONS; TIME VARYING; TIME-VARYING INTERVAL DELAY;

LINEAR MATRIX INEQUALITIES;

EID: 65349094216     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.3166/ejc.13.356-365     Document Type: Article

References (40)

1. E.K. Boukas, and N.F. Al-Muthairi Delay-dependent stabilization of singular linear systems with delays Int J Innovative Computing, Information and Control 2 2006 283 291
2. Y.Y. Cao, and J. Lam Computation of robust stability bounds for time-delay systems with nonlinear timevarying perturbations Int J Sys Sci 31 2000 359 365
3. B. Chen, J. Lam, and S. Xu Memory state feedback guaranteed cost control for neutral delay systems Int J Innovative Computing, Information and Control 2 2006 293 303
4. ∞ control: constant and time-varying delays Int J Control 76 2003 48 60
5. ∞ control of uncertain dicsrete delay systems Eur J Control 11 2005 29 37
6. E. Fridman, and U. Shaked Input-output approach to stability and L2-gain analysis of systems with timevarying delays Syst Control Lett 55 2006 1041 1053
7. ∞ control of linear time-delay systems' IEEE Trans Automat Control 48 2003 520 525
8. H. Gao, J. Lam, C. Wang, and Y. Wang Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay IEE Proc-Control Theory Appl 151 2004 691 698
9. F. Gouaisbaut, and D. Peaucelle A note on the stability of time delay systems 5th IFAC Symposium on Robust Control Design (ROCOND) Toulouse 2006 July
10. A. Goubet-Bartholomeus, and M. Dambrine Stability of perturbed systems with time-varying delays Syst Control Lett 31 1997 155 163
11. K. Gu Discretized LMI set in the stability problem of linear uncertain time-delay systems Int J Control 68 1997 923 934
12. K. Gu, and S.I. Niculescu Additional dynamics in transformed time delay systems IEEE Trans Automat Control 45 2000 572 575
13. K. Gu, V.L. Kharitonov, and J. Chen Stability of time-delay systems 2003 Birkhuser Boston
14. J.K. Hale, and S.M. Verduyn Lunel Introduction to Functional Differential Equations (Applied Mathematical Sciences, vol. 99) 1993 Springer-Verlag New York
15. Q.L. Han Robust stability for a class of linear systems with time-varying delay and nonlinear perturbations Comput Math Appl 47 2004 1201 1209
16. Q.L. Han, and K. Gu Stability of linear systems with timevarying delay: A generalized discretized Lyapunov functional approach Asian J Control 3 2001 170 180
17. Q.L. Han, and L. Yu Robust stability of linear neutral systems with nonlinear parameter perturbations IEE Proc-Control Theory Appl 151 2004 539 546
18. Y. He, M. Wu, J.H. She, and G.P. Liu Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays Syst Control Lett 51 2004 57 65
19. Y. He, M. Wu, J.H. She, and G.P. Liu Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties IEEE Trans Automat Control 49 2004 828 832
20. Y. He, Q.G. Wang, C. Lin, and M. Wu Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems Int J Robust Nonlinear Control 15 2005 923 933
21. Y. He, Q.G. Wang, C. Lin, and M. Wu Delay-range-dependent stability for systems with time-varying delay Automatica 43 2007 371 376
22. ∞ control for linear systems with interval time-varying delay Automatica 41 2005 2099 2106
23. X.J. Jing, D.L. Tan, and Y.C. Wang An LMI approach to stability of systems with severe time-delay IEEE Trans Automat Control 49 2004 1192 1195
24. V.L. Kharitonov, and S.I. Niculescu On the stability of linear systems with uncertain delay IEEE Trans Automat Control 48 2003 127 132
25. V. Kharitonov, and A. Zhabko Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems Automatica 39 2003 15 20
26. C.R. Knospe, and M. Roozbehani Stability of linear systems with interval time-delay American Control Conference Denver, Colorado 2003 1458 1463
27. ∞ Controllers for state delayed systems IEEE Trans Automat Control 39 1994 159 162
28. ∞ control for uncertain systems with a state-delay Automatica 40 2004 65 72
29. C. Lin, Q.G. Wang, and T.H. Lee A less conservative robust stability test for linear uncertain time-delay systems IEEE Trans Automat Control 51 2006 87 91
30. Y.S. Moon, P. Park, W.H. Kwon, and Y.S. Lee Delaydependent robust stabilization of uncertain statedelayed systems Int J Control 2001 1447 1455
31. N.L. Ni, and M.J. Er Stability of linear systems with delayed perturbations: an LMI approach IEEE Trans Circuits Syst I 49 2002 108 112
32. P. Park A delay-dependent stability criterion for systems with uncertain time-invariant delays IEEE Trans Automat Control 44 1999 876 877
33. J.P. Richard Time-delay systems: an overview of some recent advances and open problems Automatica 39 2003 1667 1694
34. ∞ control of time-delay systems Proc. 43rd IEEE CDC'04 Atlantis, Bahamas 2004 4548 4553
35. H. Trinh, and M. Aldeen On robustness and stabilization of linear systems with delayed nonlinear perturbations IEEE Trans Automat Control 42 1997 1005 1007
36. M. Wu, Y. He, J.H. She, and G.P. Liu Delay-dependent criteria for robust stability of time-varying delay systems Automatica 40 2004 1435 1439
37. M. Wu, Y. He, and J.H. She New delay-dependent stability criteria and stabilizing method for neutral systems IEEE Trans Automat Control 49 2004 2266 2271
38. B.G. Xu Stability robustness bounds for linear systems with multiple time-varying delayed perturbations Int J Sys Sci 28 1997 1311 1317
39. X.M. Zhang, M. Wu, J.H. She, and Y. He Delay-dependent stabilization of linear systems with time-varying state and input delays Automatica 41 2005 1405 1412
40. Z. Zuo, and Y. Wang New stability criterion for a class of linear systems with time-varying delay and nonlinear perturbations IEE Proc-Control Theory Appl 153 2006 623 626