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Asynchronously Input-output Finite-time Control of Positive Impulsive Switched Systems

Leipo Liu*, Hao Xing, Yifan Di, Zhumu Fu, and Shuzhong Song
International Journal of Control, Automation, and Systems, vol. 18, no. 7, pp.1751-1757, 2020

Abstract : This paper considers asynchronously input-output finite-time control of positive impulsive switched systems(PISS). Firstly, the definition of input-output finite-time stability(IO-FTS) is introduced. By using the Lyapunov functional and average dwell time(ADT) approach, a state feedback controller is designed and new sufficient conditions are obtained to guarantee the corresponding closed-loop system is IO-FTS under asynchronous switching. Such conditions can be solved by linear programming. Finally, a practical example is provided to show the effectiveness of the proposed method.

Keyword : Asynchronous control, average dwell time, input-output finite-time stability, positive impulsive switched systems

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