Stability analysis of switched positive linear systems with stable and unstable subsystems |
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| Authors: | Ji-Shi Zhang Jiang-Wen Xiao Yan-Jun Shen |
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| Affiliation: | 1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China;2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, China;3. College of Electrical Engineering and New Energy, China Three Gorges University, Yichang, China |
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| Abstract: | ![]()
This paper addresses the stability problem of switched positive linear systems with stable and unstable subsystems. Based on a multiple linear copositive Lyapunov function, and by using the average dwell time approach, some sufficient stability criteria of global uniform exponential stability are established in both the continuous-time and the discrete-time cases, respectively. Finally, some numerical examples are given to show the effectiveness of the proposed results. |
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| Keywords: | switched positive linear system multiple linear copositive Lyapunov function exponential stability average dwell time |
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