Xiao-Wu Mu and Yang Gao. The Analysis of Global Input-to-state Stability for Piecewise Affine Systems with Time-delay. International Journal of Automation and Computing, vol. 9, no. 2, pp. 211-214, 2012. DOI: 10.1007/s11633-012-0635-3
Citation: Xiao-Wu Mu and Yang Gao. The Analysis of Global Input-to-state Stability for Piecewise Affine Systems with Time-delay. International Journal of Automation and Computing, vol. 9, no. 2, pp. 211-214, 2012. DOI: 10.1007/s11633-012-0635-3

The Analysis of Global Input-to-state Stability for Piecewise Affine Systems with Time-delay

  • 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.
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