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Finite-time Control for Discrete-Time Switched Systems with Time Delay

Lin-Lin Hou, Guang-Deng Zong*, and Yu-Qiang Wu
International Journal of Control, Automation, and Systems, vol. 10, no. 4, pp.855-860, 2012

Abstract : The problem of finite-time state feedback control is considered in this paper for a class of discrete-time switched systems with time delay. Firstly, the concepts of finite-time stability and finite-time boundedness are extended to discrete-time switched systems with time delay, respectively. Then, by re-sorting to the average dwell time approach and Lyapunov-Krasovskii functional technology, some new delay-dependent criteria guaranteeing finite-time boundedness and stability are developed. The state feedback controller is also obtained by virtue of a cone complement linearization (CCL) method. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed results.

Keyword : Cone complement linearization (CCL) method, discrete-time switched systems, finite-time boundedness, finite-time stability, time delay.

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