Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay

Nonlinear Analysis: Hybrid Systems

Volumn 3, Issue 3, 2009, Pages 334-342

  Lien, Chang Hua ^a   Yu, Ker Wei ^a   Chung, Yeong Jay ^a   Lin, Yen Feng ^a   Chung, Long Yeu ^b   Chen, Jenq Der ^c  

^a NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

^b CHIA NAN UNIVERSITY OF PHARMACY AND SCIENCE   (Taiwan)

^c National Kinmen Institute of Technology   (China)

Author keywords

Global exponential stability; Interval time varying delay; Leibniz Newton formula; Razumikhin like approach; Switched neutral systems

Indexed keywords

GLOBAL EXPONENTIAL STABILITY; INTERVAL-TIME-VARYING DELAY; LEIBNIZ-NEWTON FORMULA; RAZUMIKHIN-LIKE APPROACH; SWITCHED NEUTRAL SYSTEMS;

ASYMPTOTIC STABILITY; LINEAR CONTROL SYSTEMS; STABILITY CRITERIA; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

SYSTEM STABILITY;

EID: 67549120991     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2009.02.010     Document Type: Article

References (14)

1. Sun X.M., Wang W., Liu G.P., and Zhao J. Stability analysis for linear switched systems with time-varying delay. IEEE Trans. Syst. Man Cybern. (B) 38 (2008) 528-5533
2. Liu J., Liu X., and Xie W.C. Delay-dependent robust control for uncertain switched systems with time-delay. Nonlinear Anal. Hybrid Syst. 2 (2008) 81-95
3. Sun Y.G., Wang L., and Xie G. Stability of switched systems with time-varying delays: Delay-dependent common Lyapunov functional approach. Proc. Amer. Control Conf. 5 (2006) 1544-1549
4. 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
5. 2-gain analysis for switched delay systems: A delay-dependent method. Automatica 42 (2006) 1769-1774
6. Kim S., Campbell S.A., and Liu X. Stability of a class of linear switching systems with time delay. IEEE Trans. Circuits Syst. (I) 53 (2006) 384-393
7. Liu D., Liu X., and Zhong S. Delay-dependent robust stability and control synthesis for uncertain switched neutral systems with mixed delays. Appl. Math. Comput. 202 (2008) 828-839
8. Zhang Y., Liu X., Zhu H., and Zhong S. Stability analysis and control synthesis for a class of switched neutral systems. Appl. Math. Comput. 190 (2007) 1258-1266
9. Gu K., Kharitonov V.L., and Chen J. Stability of Time-Delay Systems (2003), Birkhauser, Boston, Massachusetts
10. Hale J.K., and Verduyn Lunel S.M. Introduction to Functional Differential Equations (1993), Springer-Verlag, New York
11. Kolmanovskii V.B., and Myshkis A. Applied Theory of Functional Differential Equations (1992), Kluwer Academic Publishers, Netherlands
12. Lien C.H., Yu K.W., Lin Y.F., Chung Y.J., and Chung L.Y. Exponential convergence rate estimation for uncertain delayed neural networks of neutral type. Chaos Solitons Fractals (2007) 10.1016/j.chaos.2007.10.043
13. Yu K.W., and Lien C.H. Stability criteria for uncertain neutral systems with interval time-varying delays. Chaos Solitons Fractals 38 (2008) 650-657
14. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear Matrix Inequalities in System and Control Theory (1994), SIAM, Philadelphia