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