Exponential stability of uncertain time-delayed systems

2004 5th Asian Control Conference

Volumn 3, Issue , 2004, Pages 1991-1995

  Jing, Xing Jian ^a,b   Wang, Yue Chao ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EXPONENTIAL STABILITY; NONLINEAR UNCERTAINTIES; RAZUMIKHIN-TYPE THEOREM; TIME-DELAYED SYSTEMS;

ASYMPTOTIC STABILITY; FUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR SYSTEMS; THEOREM PROVING;

UNCERTAIN SYSTEMS;

EID: 16244369157     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (23)

1. Y. Y.Cao, Y. X. Sun and C. W. Cheng. Delay-dependent robust stabilization of uncertain systems with multiple state delays. IEEE Transaction on Automatic Control, 43(11) (1998), 1608-1612
2. E.Fridman and U.Shaked. New bounded real lemma representations for time-delay systems and their applications. IEEE Transaction on Automatic Control, 46(12) (2001), 1973-1979
3. E.Fridman and U.Shaked. An improved stabilization method for linear time-delay systems. IEEE Transaction on Automatic Control, 47(11) (2002), 1931-1937
4. Y. R.Gu, S. C.Wang, Q. Q.Li, Z. Q.Cheng and J. X.Qian. On delay-dependent stability and decay estimate for uncertain systems with time-varying delay. Automatica, 34(8) (1998), 1035-1039
5. V.B.Kohnanovskii, S.I.Niculescu and K.Gu. Delay effects on stability: A survey. In Proc. Conf. Decision Control, Phoenix, AZ, Dec, 1999.
6. J. K.Hale and S. M. V. Lunel. Introduction to functional differential equations. New York: Springer-Verlag, 1993
7. Q.L.Han. New results for delay-dependent stability of linear systems with time-varying delay. International Journal of Systems Science, 33(3) (2002), 213-228
8. V.L.Kharitonov and A.P.Zhabko. Lyapunov-Krasoskii approach to the robust stability analysis of time-delay systems. Automatica, 39 (2003), 15-20
9. T.N.Lee and U.L.Radovic. Decentralized stabilization of linear continuous and discrete-time systems with delays in interconnections. IEEE Transaction on Automatic Control, 33 (1988), 757-761
10. C. H.Lien, Y. J.Sun, and J. G.Hsieh. Global stabilizability for a class of uncertain systems with multiple time-varying delays via linear control. International Journal of Control. 72(10) (1999), 904-910
11. Y.J.Liu and W.G,Ge. Asymptotic behavior of certain delay differential equations with forcing term. J. Math. Anal. Appl. 280 (2003), 350-363
12. M. S.Mahmoud and S.Bingulac. Robust design of stabilizing controllers for interconnected time-delay systems. Automatica, 34(6) (1998), 795-800
13. S. I.Niculescu, C. E.Souza, L.Dugard and J. M.Dion. Robust exponential stability of uncertain systems with time-varying delays. IEEE Transaction on Automatic Control, 43(5) (1998), May, 743-748
14. P. G.Park. A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Transaction on Automatic Control, 44(4) (1999), April, 876-877
15. Y. X Qin, Y.Q.Liu, L.Wang and Z.X. Zheng. Motion stability of dynamic systems with delay. Second Edition, Beijing: Science Press. 1989
16. V.I.Rozkhov and A.M.Popov. Inequalities for solutions of certain systems of differential equations with large time-lag. Differential Equation, 7 (1971), 271-278
17. J.H.Su. Further results on the robust stability of delay dependence for linear uncertain systems. System control letters, 23 (1994), 375-379
18. Y.J.Sun. Global exponential stabilization for a class of differential inclusion systems with multiple time delays. J. Math. Anal. Appl. 263 (2003), 695-707.
19. H.J.Tian. The exponential asymptotic stability of singularly perturbed delaydifferential equations with a bounded lag. J. Math. Anal. Appl. 270 (2002), 143-149
20. B.Xu. Stability of retarded dynamical systems: a Lyapunov function approach. Journal of Mathematical Analysis and applications, 253 (2001), 590-615
21. B.Xu. Further results on the stability of linear systems with multiple delays. Journal of Mathematical Analysis and Applications, 267 (2002), 20-28
22. W.Y. Chen. Some new results on the asymptotic stability of uncertain systems with time-varying delays. Int. J. Systems Science, 33(11) (2002), 917-921
23. A. Halany, Differential Equations, Stability, Oscillations, Time Lags, Academic Press, New York, 1966.