Exponential stabilization and L2‐gain for uncertain switched nonlinear systems with interval time‐varying delay |
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| Authors: | Yali Dong Tianrui Li Shengwei Mei |
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| Affiliation: | 1. School of Science, Tianjin Polytechnic University, Tianjin, China;2. Department of Electrical Engineering, Tsinghua University, Beijing, China |
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| Abstract: | This paper is concerned with the exponential stabilization and L2‐gain for a class of uncertain switched nonlinear systems with interval time‐varying delay. Based on Lyapunov–Krasovskii functional method, novel delay‐dependent sufficient conditions of exponential stabilization for a class of uncertain switched nonlinear delay systems are developed under an average dwell time scheme. Then, novel criteria to ensure the exponential stabilization with weighted L2‐gain performance for a class of uncertain switched nonlinear delay systems are established. Furthermore, an effective method is proposed for the designing of a stabilizing feedback controller with L2‐gain performance. Finally, some numerical examples are given to illustrate the effectiveness of the theoretical results. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | uncertain switched nonlinear system exponential stabilization L2‐gain time‐varying delay average dwell time |
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