Delay-dependent robust stabilization for uncertain linear system

Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

Volumn 4, Issue , 2005, Pages 3764-3768

  Lu, Ren Quan ^a   Su, Hong Ye ^b   Chu, Jian ^b  

^a HANGZHOU DIANZI UNIVERSITY   (China)

^b STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

Author keywords

Robust stabilization; Singular system

Indexed keywords

ROBUST STABILIZATION; SINGULAR SYSTEMS; TIME-VARYING DELAY; UNCERTAIN LINEAR SYSTEMS;

CLOSED LOOP CONTROL SYSTEMS; DELAY CONTROL SYSTEMS; FEEDBACK CONTROL; FUNCTIONS; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 27944472222     PISSN: 1062922X     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. J. Hale, Functional Differential Equations. New York: Springer-Verlag, 1977.
2. V. B. Kolmanovskii and V. R. Nosov, Stability of Functional Differential equations. Academic Press, Inc, 1986.
3. E. Fridman and U. Shaked, "New bounded real lemma representations for time-delay systems and their applications", IEEE Trans. Automat. Contr., vol. 46, pp. 1973-1979, 2001.
4. E. Fridman and U. Shaked, "An improved stabilization method for linear time-delay systems", IEEE Trans. Automat. Contr., vol. 47, pp. 1931-1937, 2002.
5. S. I. Niculescu Ce. De Souza, L. Ducard and J. M. Dion, "Robust stability exponential stability of uncertain systems with time-varying delays," IEEE Trans. Automat. Contr., vol. 43, pp. 743-749, 1998.
6. V. B. Kolmanovskii, S. I. Niculesu and J. P. Richard, "on the Lyapunov-Krasovskii functional for stability anslysis of linear delay systems", Int. J. Control, vol. 72, pp. 374-384, 1999.
7. C. Y. Lu, J. S. H., etc, "An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays", IEEE Trans. Automat. Contr., vol. 48, pp. 286-289, 2003.
8. C. Y. Cao and B. Lincoln, "Simple stability criteria for systems with time-varying delays", Automatica, vol. 40, pp. 1429-1434, 2004.
9. Y. He, M. Wu, J. H. She and G. L. Liu, "Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic uncertainties", IEEE Trans. Automat. Contr., vol. 49, pp. 828-831, 2004.
10. Y. S. Moon, P. Park, W. H. Kwon and Y. S. Lee, "Delay-dependent robust stabilization of uncertain state-delayed systems", Int. J. Control, vol.74, pp. 1447-1455, 2001.
11. I. R. Petersen, "A stabilization alrothm for a class of uncertain linear systems", Sys. Control Lett., vol. 8, pp. 351-357, 1987
12. B. Xu, "Stability of retard dynamical systems: a Lyapunov function approach", J. Math. Anal. Appl., 253, pp. 590-615, 2001.
13. B. Xu and Y. Y. Liu, "Delay-dependent/delay-independent stability of linear systems with multiple time-varying delays", IEEE Trans. Automat. Contr., vol. 40, pp. 697-701, 2003.
14. X. Nian, "Stability of linear systems with time-varying delays: An Lyapunov functional approach", IEEE Proc. American Control Conference, Denver, Colorado, June 4-6, pp. 883-884, 2003.
15. X. Nian and J. Feng, "Guaranteed-cost control of a linear uncertain systems with multiple time-varying delays: an LMI approach", IEE Proc. Control Theory Appl., vol. 150, pp. 17-22, 2003