Stabilization of positive switched systems with time-varying delays under asynchronous switching |
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Authors: | Mei Xiang Zhengrong Xiang Hamid Reza Karimi |
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Affiliation: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, P. R. China 2. Department of Engineering, Faculty of Engineering and Science, University of Agder, N-4898, Grimstad, Norway
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Abstract: | This paper investigates the state feedback stabilization problem for a class of positive switched systems with time-varying delays under asynchronous switching in the frameworks of continuous-time and discrete-time dynamics. The so-called asynchronous switching means that the switches between the candidate controllers and system modes are asynchronous. By constructing an appropriate co-positive type Lyapunov-Krasovskii functional and further allowing the functional to increase during the running time of active subsystems, sufficient conditions are provided to guarantee the exponential stability of the resulting closed-loop systems, and the corresponding controller gain matrices and admissible switching signals are presented. Finally, two illustrative examples are given to show the effectiveness of the proposed methods. |
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