New results of stability analysis for systems with time-varying delay

International Journal of Robust and Nonlinear Control

Volumn 20, Issue 5, 2010, Pages 596-606

  Zhu, Xun Lin ^a,b   Yang, Guang Hong ^a,c  

^a NORTHEASTERN UNIVERSITY   (China)

^b ZHENGZHOU UNIVERSITY OF LIGHT INDUSTRY   (China)

^c KEY LABORATORY OF INTEGRATED AUTOMATION OF PROCESS INDUSTRY   (China)

Author keywords

Continuous time systems; Stability; Time varying delay

Indexed keywords

CROSS-TERMS; DELAY DECOMPOSITION APPROACH; DELAY-DEPENDENT; LYAPUNOV MATRIX; NEW RESULTS; NUMERICAL EXAMPLE; STABILITY ANALYSIS; TIME-VARYING DELAY; UPPER BOUND;

LINEAR MATRIX INEQUALITIES; NONLINEAR CONTROL SYSTEMS; STABILITY CRITERIA; SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS;

CONTINUOUS TIME SYSTEMS;

EID: 76649113980     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1456     Document Type: Article

References (16)

1. Fridman E, Shaked U. An improved stabilization method for linear time-delay systems. IEEE Transactions on Automatic Control 2002; 47(11):1931-1937.
2. Fridman E, Shaked U. A descriptor system approach to ℋ∞ control of time-delay systems. IEEE Transactions on Automatic Control 2002; 47(2):253-270. (Pubitemid 34291539)
3. Suplin V, Fridman E, Shaked U. ℋ∞ control of linear uncertain time-delay systems-a projection approach. IEEE Transactions on Automatic Control 2006; 51(4):680-685.
4. Moon YS, Park P, Kwon WH, Lee YS. Delay-dependent robust stabilization of uncertain state-delayed systems. International Journal of Control 2001; 74:1447-1455.
5. Lee YS, Moon YS, Kwon WH, Park PG. Delay-dependent robust ℋ∞ control for uncertain systems with a state-delay. Automatica 2004; 40:65-72.
6. Park P, Ko JW. Stability and robust stability for systems with time-varying delay. Automatica 2007; 43:1855-1858.
7. Richard JP. Time-delay systems: an overview of some recent advances and open problem. Automatica 2003; 39: 1667-1694.
8. Wu M, He Y, She JH, Liu GP. Delay-dependent criteria for robust stability of time-varying delay systems. Automatica 2004; 40:1435-1439.
9. Xu S, Lam J. Improved delay-dependent stability criteria for time-delay systems. IEEE Transactions on Automatic Control 2005; 50:384-387.
10. He Y, Wang QG, Xie L, Lin C. Further improvement of free-weighting matrices technique for systems with timevarying delay. IEEE Transactions on Automatic Control 2007; 52(2):293-299.
11. Han QL, Gu K. Stability of linear systems with time-varying delay: a generalized discretized Lyapunov function approach. Asian Journal of Control 2001; 3(3):170-180.
12. Zhu XL, Yang GH. Jensen integral inequality approach to stability analysis of continuous-time systems with timevarying delay. IET Control Theory and Applications 2008; 2(6):524-534.
13. Gouaisbaut F, Peaucelle D. Delay-dependent stability of time delay systems. 5th IFAC Symposium on Robust Control (ROCOND'06), Toulouse, France, 5-7 July 2006.
14. Gu K, Kharitonov V, Chen J. Stability of Time-delay Systems. Birkhauser: Boston, 2003.
15. Jiang X, Han QL. On ℋ∞ control for linear systems with interval time-varying delay. Automatica 2005; 41: 2099-2106. (Pubitemid 41525668)
16. Yue D, Han QL, Lam J. Network-based robust ℋ∞ control of systems with uncertainty. Automatica 2005; 41:999-1007. (Pubitemid 40556809)