The analysis of global input-to-state stability for piecewise affine systems with time-delay

Authors:
Xiao-Wu Mu;Yang Gao
Affiliations:
Department of Mathematics, Zhengzhou University, Zhengzhou, PRC 450052;Department of Mathematics, Zhengzhou University, Zhengzhou, PRC 450052 and Department of Mathematics, Daqing Normal University, Daqing, PRC 163712
Venue:
International Journal of Automation and Computing
Year:
2012

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Abstract

In this paper, global input-to-state stability (ISS) for discrete-time piecewise affine systems with time-delay are considered. Piecewise quadratic ISS-Lyapunov functions are adopted. Both Lyapunov-Razumikhin and Lyapunov-Krasovskii methods are used. The theorems of Lyapunov-Razumikhin type and Lyapunov-Krasovskii type for piecewise affine systems with time-delay are shown, respectively.