1. New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems
- Author
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Li-Juan Liu, Ning Xu, Guangdeng Zong, and Xudong Zhao
- Subjects
Switched positive systems ,finite-time stability ,linear programming ,mode-dependent average dwell time ,time delay ,Electrical engineering. Electronics. Nuclear engineering ,TK1-9971 - Abstract
In this paper, the problems of finite-time stability and stabilization for switched positive linear time-delay systems under mode-dependent average dwell time (MDADT) are investigated. By proposing a novel multiple piecewise copositive Lyapunov-Krasovskii functional, new results on the sufficient conditions of finite-time stability are obtained. In order to solve the limitation of the multiple piecewise copositive Lyapunov-Krasovskii functional on designing controllers, a novel linear combinatorial copositive Lyapunov-Krasovskii functional is constructed, this provides a possibility for the numerical construction of the controller. Then by using state feedback controller, the finite-time stabilization is achieved. Finally, some simulation results are given to show the advantages of our methods.
- Published
- 2020
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