Stabilization of switched linear systems with mode-dependent time-varying delays |
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Authors: | Xiuhong Liu |
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Affiliation: | Department of Mathematics and Statistics, Shandong University of Finance, Jinan 250014, China |
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Abstract: | In this paper, we investigate the problem of stabilization via state feedback and/or state-based switching for switched linear systems with mode-dependent time-varying delays. By using the multiple Lyapunov functional method, we establish sufficient conditions that guarantee the switched system is stabilizable via state feedback and/or switching under time-varying delays with appropriate upper bounds. The main results are presented in terms of linear matrix inequalities (LMIs) which generalize some known results and can be easily tested by using the Matlab’s LMI Tool-box. |
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Keywords: | Stabilization Switched linear delay system Multiple Lyapunov functions Linear matrix inequality |
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