Common joint linear copositive Lyapunov functions for positive switched systems |
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| Authors: | Zhaorong Wu Yuangong Sun |
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| Institution: | School of Mathematical Sciences, Shandong Provincial Key Laboratory of Network Based Intelligent Computing, University of Jinan, Jinan, Shandong 250022, China |
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| Abstract: | Unlike many papers focusing on common linear copositive Lyapunov functions (CLCLFs) for positive switched systems, this paper studies the existence of a class of common weak linear copositive Lyapunov functions called common joint linear copositive Lyapunov functions (CJCLFs). Necessary and sufficient conditions for the existence of CJCLFs are established. The conditions are easily verifiable via the straightforward computation, and can be applied to the asymptotic stability problem of the positive switched linear system when each switching mode is only Lyapunov stable. |
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