New stability criteria for continuous-time systems with interval time-varying delay

IET Control Theory and Applications

Volumn 4, Issue 6, 2010, Pages 1101-1107

  Zhu, X L ^a   Wang, Y ^b   Yang, G H ^c,d  

^a ZHENGZHOU UNIVERSITY OF LIGHT INDUSTRY   (China)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^c NORTHEASTERN UNIVERSITY   (China)

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

Author keywords

[No Author keywords available]

Indexed keywords

CONVEX COMBINATIONS; INTEGRAL INEQUALITIES; INTERVAL TIME-VARYING DELAYS; LYAPUNOV FUNCTIONALS; NON-LINEAR; NUMERICAL EXAMPLE; PARTITION METHODS; UPPER BOUND;

CONTINUOUS TIME SYSTEMS; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS;

STABILITY CRITERIA;

EID: 77953589044     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2009.0176     Document Type: Article

References (25)

1. Fridman, E., and Shaked, U.: ' An improved stabilization method for linear time-delay systems ', IEEE Trans. Autom. Control, 2002, 47, (11), p. 1931-1937 0018-9286
2. ∞ control of time-delay systems ', IEEE Trans. Autom. Control, 2002, 47, (2), p. 253-270 0018-9286
3. ∞ control of linear uncertain time-delay systems - a projection approach ', IEEE Trans. Autom. Control, 2006, 51, (4), p. 680-685 0018-9286
4. ∞ control for uncertain systems with a state-delay ', Automatica, 2004, 40, p. 65-72 0005-1098
5. Kao, C.Y., and Lincoln, B.: ' Simple stability criteria for systems with time-varying delays ', Automatica, 2004, 40, p. 1429-1434 0005-1098
6. Gu, K.: ' An integral inequality in the stability problem of time-delay systems ', Proc. 39th IEEE Conf. on Decision and Control, 2000, p. 2805-2810
7. Han, Q.L., and Gu, K.: ' Stability of linear systems with time-varying delay: a generalized discretized Lyapunov function approach ', Asian J. Control, 2001, 3, (3), p. 170-180 1561-8625
8. ∞ control for linear systems with interval time-varying delay ', Automatica, 2005, 41, (12), p. 2099-2106 0005-1098 (Pubitemid 41525668)
9. Xu, S., and Lam, J.: ' On equivalence and efficiency of certain stability criteria for time-delay systems ', IEEE Trans. Autom. Control, 2007, 52, (1), p. 95-101 0018-9286 (Pubitemid 46344002)
10. Kao, C.Y., and Rantzer, A.: ' Stability analysis of systems with uncertain time-varying delays ', Automatica, 2007, 43, p. 959-970 0005-1098
11. 2-gain analysis of systems with time-varying delays ', Syst. Control Lett., 2006, 55, (12), p. 1041-1053 0167-6911
12. Kwon, O.M., Park, JuH., and Lee, S.M.: ' On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations ', Appl. Math. Comput., 2008, 203, (2), p. 937-942 0096-3003
13. Park, JuH.: ' Novel robust stability criterion for a class of neutral systems with mixed delays and nonlinear perturbations ', Appl. Math. Comput., 2005, 161, (2), p. 413-421 0096-3003
14. Kwon, O.M., and Park, JuH.: ' Exponential stability for time-delay systems with interval time-varying delays and nonlinear perturbations ', J. Optim. Theory Appl., 2008, 139, (2), p. 277-293 0022-3239
15. Wu, M., He, Y., She, J.H., and Liu, G.P.: ' Delay-dependent criteria for robust stability of time-varying delay systems ', Automatica, 2004, 40, (8), p. 1435-1439 0005-1098
16. Xu, S., and Lam, J.: ' Improved delay-dependent stability criteria for time-delay systems ', IEEE Trans. Autom. Control, 2005, 50, (3), p. 384-387 0018-9286
17. He, Y., Wang, Q.G., Xie, L., and Lin, C.: ' Further improvement of free-weighting matrices technique for systems with time-varying delay ', IEEE Trans. Autom. Control, 2007, 52, (2), p. 293-299 0018-9286
18. He, Y., Wang, Q.G., Lin, C., and Wu, M.: ' Delay-range-dependent stability for systems with time-varying delay ', Automatica, 2007, 43, (2), p. 371-376 0005-1098 (Pubitemid 46037586)
19. Park, P., and Ko, J.W.: ' Stability and robust stability for systems with time-varying delay ', Automatica, 2007, 43, (10), p. 1855-1858 0005-1098
20. Jiang, X., and Han, Q.L.: ' New stability criteria for linear systems with interval time-varying delay ', Automatica, 2008, 44, (10), p. 2680-2685 0005-1098
21. ∞ stabilization criterion for networked control systems ', IEEE Trans. Autom. Control, 2008, 53, (4), p. 1025-1032 0018-9286
22. Zhu, X.L., and Yang, G.H.: ' Jensen integral inequality approach to stability analysis of continuous-time systems with time-varying delay ', IET Control Theory Appl., 2008, 2, (6), p. 524-534
23. Ariba, Y., and Gouaisbaut, F.: ' Delay-dependent stability analysis of linear systems with time-varying delay ', Proc. 46th IEEE Conf. on Decision and Control, 2007, p. 2053-2058
24. Ariba, Y., and Gouaisbaut, F.: ' Construction of Lyapunov-Krasovskii functional for time-varying delay systems ', Proc. 47th IEEE Conf. on Decision and Control, 2008, p. 3995-4000
25. Shao, H.: ' New delay-dependent stability criteria for systems with interval delay ', Automatica, 2009, 45, (3), p. 744-749 0005-1098