Exponential Stability for Uncertain Switched Neutral Systems with Nonlinear Perturbations

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Abstract:

The global exponential stability for switched neutral systems with time-varying delays and nonlinear perturbations is investigated in this paper. LMI-based delay-dependent criterion is proposed to guarantee exponential stability for our considered systems under any switched signal. Lyapunov-Krasovskii functional and Leibniz-Newton formula are applied to find the stability results. Free weighting matrix and linear matrix inequality (LMI) approaches are used to solve the proposed conditions.

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Periodical:

Advanced Materials Research (Volumes 217-218)

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668-673

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March 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] D. Xie, N. Xu and X. Chen: IET Control Theory Appl., Vol. 2 (2008), p.192.

Google Scholar

[2] S. Kim, S.A. Campbell and X.Z. Liu: IEEE Trans. Circuits Syst., Vol. 53 (2006), p.384.

Google Scholar

[3] X.M. Sun, W. Wang and G.P. Liu: IEEE Trans. Syst. Man Cybern. B, Vol. 38 (2008), p.528.

Google Scholar

[4] V.N. Phat, T. Botmart and P. Niamsup: Nonlinear Anal. Hybrid Syst., Vol. 3 (2009), p.1.

Google Scholar

[5] K. Gu, V.L. Kharitonov and J. Chen: Stability of Time-Delay Systems, (Birkhauser, Boston, Mass, USA, 2003).

Google Scholar

[6] J.K. Hale, S.M. Verduyn Lunel: Introduction to Functional Differential Equations, (Springer-Verlag, New York, 1993).

Google Scholar

[7] S. Xu, J. Lam and Y. Zou: Int. J. Robust Nonlinear Cont., Vol. 15 (2005), p.233.

Google Scholar

[8] Q.L. Han: Automatica, Vol. 40 (2004), p.1087.

Google Scholar

[9] J.H. Park: Appl. Math. Comput., Vol. 161 (2005), p.413.

Google Scholar

[10] J. Liu, X. Liu and W.C. Xie: Nonlinear Anal. Hybrid Syst., Vol. 2 (2008), p.81.

Google Scholar