Exponential stability analysis for neutral switched systems with interval time-varying mixed delays and nonlinear perturbations

Nonlinear Analysis: Hybrid Systems

Volumn 6, Issue 2, 2012, Pages 775-786

  Zhang, Dan ^a   Yu, Li ^a  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Delay dependent; Exponential stability; LMI; Nonlinear perturbation; Switched neutral systems

Indexed keywords

AVERAGE DWELL-TIME APPROACH; CONVERGENCE RATES; DECAY ESTIMATE; DELAY DEPENDENT; LMI; MIXED DELAYS; NEUTRAL SYSTEMS; NONLINEAR PERTURBATIONS; NUMERICAL EXAMPLE; PIECEWISE LYAPUNOV FUNCTIONAL; SUFFICIENT CONDITIONS; SWITCHED SYSTEM; TIME VARYING;

ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NUMERICAL METHODS; SWITCHING SYSTEMS; TIME VARYING SYSTEMS;

SYSTEM STABILITY;

EID: 84255187533     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2011.10.002     Document Type: Article

References (21)

1. Fridman E., Shaked U. An improved stabilization method for linear time-delay systems. IEEE Trans. Automat. Control 2003, 47:1931-1937.
2. Wu M., He Y., She J., Liu G. Delay-dependent criteria for robust stability of time-varying delay systems. Automatica 2004, 40:1435-1439.
3. Liu X., Zhang H. New stability criterion of uncertain systems with time-varying delay. Chaos Solitons Fractals 2005, 26:1343-1348.
4. He Y., Wang Q., Lin C., Wu M. Delay-range-dependent stability for systems with time-varying delay. Automatica 2007, 43:371-376.
5. Shao H. New delay-dependent stability criteria for systems with interval delays. Automatica 2009, 45:744-749.
6. Park J.H. Novel robust stability criterion for a class of neutral systems with mixed delays and nonlinear perturbations. Appl. Math. Comput. 2005, 161:413-421.
7. Yang B., Wang J., Pan X., Zhong C. Delay-dependent criteria for robust stability of linear neutral systems with time-varying delay and nonlinear perturbations. Internat. J. Systems Sci. 2007, 38:511-518.
8. Zhang J., Peng S., Qiu J. Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties. Chaos Solitons Fractals 2008, 28:160-167.
9. Chen Y., Xue A.K., Lu R., Zhou S.-S. On robustly exponential stability of uncertain neutral systems with time-varying delays and nonlinear perturbations. Nonlinear Anal. 2008, 68:2464-2470.
10. Fang Q., Cui B.T., Yan J. Further results on robust stability of neutral system with mixed time-varying delays and nonlinear perturbations. Nonlinear Anal. RWA. 2011, 11(2):895-906.
11. Liu J., Liu X., Xie W.C. Delay-dependent robust control for uncertain switched systems with time-delay. Nonlinear Anal. Hybrid Syst. 2008, 2:81-95.
12. Y.G. Sun, L. Wang, G. Xie, Stability of switched systems with time-varying delays: delay-dependent common Lyapunov functional approach, in: Proc. Amer. Control Conf., vol. 5, 2006, pp. 1544-1549.
13. C.H. Wang, L.X. Zhang, H.J. Gao, L.G. Wu, Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems, in: Proc. 4th Int. Conf. Mach. Learn. Cybern., Guangzhou, 2005, pp. 18-21.
14. Lien C.H., Yu K.W., Chung Y.J., Lin Y.F., et al. Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay. Nonlinear Anal. Hybrid Syst. 2009, 3:334-342.
15. J. Hespanha, A.S. Morse, Stability of switched systems with average dwell-time, in: Proc. the 38th Conf. on Decision and Contr., 1999, pp. 2655-2660.
16. Sun X.M., Zhao J., Hill D.J. Stability and L2-gain analysis for switched delay systems: a delay-dependent method. Automatica 2006, 42:1769-1774.
17. Liu D., Zhong S., Liu X., Huang Y. Stability analysis for uncertain switched neutral systems with discrete time-varying delay: a delay-dependent method. Math. Comput. Simul. 2008, 10.1016/j.matcom.2009.08.002.
18. Han Q.L. Absolute stability of time-delay systems with sector-bounded nonlinearity. Automatica 2005, 41:2171-2176.
19. Petersen I.R., Hollot C.V. A Riccati equation approach to the stabilization of uncertain linear systems. Automatica 1986, 22:397-411.
20. Wu L.G., Wang Z.D. Guaranteed cost control of switched systems with neutral delay via dynamic output feedback. Internat. J. Systems Sci. 2009, 40(7):717-728.
21. Yan P., Özbay H. Stability analysis of switched time delay systems. SIAM J. Control Optim. 2008, 47(2):936-949.