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Input-output Finite-time Control of Uncertain Positive Impulsive Switched Systems with Time-varying and Distributed Delays

Leipo Liu*, Xiangyang Cao, Zhumu Fu, Shuzhong Song, and Hao Xing
International Journal of Control, Automation, and Systems, vol. 16, no. 2, pp.670-681, 2018

Abstract : "This paper is concerned with the input-output finite-time control of uncertain positive impulsive switched systems(UPISS) with time-varying and distributed delays. Firstly, the definition of input-output finite-time stability is extended to UPISS, and the proof of the positivity of UPISS is also given. Then, by constructing multiple linear copositive Lyapunov functions and using the mode-dependent average dwell time(MDADT) approach, a state feedback controller is designed, and sufficient conditions are derived to guarantee that the corresponding closedloop system is input-output finite-time stable(IO-FTS). Such conditions can be easily solved by linear programming. Finally, two examples are given to demonstrate the effectiveness of the proposed method."

Keyword : "Input-output finite-time stability, interval uncertainty, linear programming, mode-dependent average dwell time, positive impulsive switched systems."

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