Finite-time control for discrete-time switched systems with time delay |
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Authors: | Lin-Lin Hou Guang-Deng Zong Yu-Qiang Wu |
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Affiliation: | 1. Institute of Automation, Qufu Normal University, Qufu, 273165, Shandong, P. R. China
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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 finitetime boundedness are extended to discrete-time switched systems with time delay, respectively. Then, by resorting 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. |
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