Stability analysis of positive switched systems via joint linear copositive Lyapunov functions |
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| Institution: | 1. Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China;2. Key Lab for IOT and Information Fusion Technology of Zhejiang, Hangzhou Dianzi University, Hangzhou 310018, China;3. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;4. College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua 321004, China;1. College of Engineering, Bohai University, Jinzhou, Liaoning 121013, China;2. Research Institute of Intelligent Control and Systems, School of Astronautics, Harbin Institute of Technology, Harbin 150001, China;3. School of Engineering, Qufu Normal University, Rizhao, Shandong 276826, China |
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| Abstract: | In this paper, we study the asymptotic stability of continuous-time positive switched linear systems for the case when each subsystem is only stable. By using the so-called “joint linear copositive Lyapunov function” (JLCLF) generalizing the common linear copositive Lyapunov function, we show that the system remains asymptotically stable under appropriate switching if it has a JLCLF. Then, the main result is extended to positive switched linear systems with time delay. |
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| Keywords: | Positive switched system Stability Joint linear copositive Lyapunov function Time delay |
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