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Input-output Finite-time Stability of Switched Singular Continuous-time Systems

Tian Feng, Baowei Wu*, Yue-E Wang, and YangQuan Chen*
International Journal of Control, Automation, and Systems, vol. 19, no. 5, pp.1828-1835, 2021

Abstract : This paper is concerned with the problem of input-output finite-time stability (IO-FTS) for a class of switched singular continuous-time systems. First, the concept of IO-FTS is extended to switched singular systems. Then, by using the average dwell time switching approach and constructing multiple Lyapunov functions, a sufficient condition of IO-FTS for the considered system is presented in the form of linear matrix inequalities (LMIs). Furthermore, based on the derived conditions, a suitable state feedback controller is designed to stabilize the switched singular systems. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed technique.

Keyword : Average dwell time switching, input-output finite-time stability, Lyapunov function, switched singular system.

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