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

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XiaoWu Mu Yang Gao Department of Mathematics Zhengzhou University Zhengzhou PRC Department of Mathematics Daqing Normal University Daqing PRC [1 ,1 ,2 ,1 ,450052 ,2 ,163712 ]
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TP13 [自动控制理论];
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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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页码:211 / 214
页数:4
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