Finite-time control of interconnected impulsive switched systems with time-varying delay

摘要

In this paper, the problem of finite-time control is addressed for a class of interconnected impulsive switched systems with time-varying delay and dynamical disturbance. The concepts of finite-time stability and finite-time boundedness are extended to interconnected impulsive switched systems, respectively. By resorting to the average dwell time approach and constructing an appropriate Lyapunov–Krasovskii functional, some sufficient criteria are provided to cope with the problems of finite-time boundedness and finite-time stability. Then, based on the decentralized switched control scheme, a state-feedback controller is established to ensure the finite-time stability and the finite-time boundedness. Finally, an example and simulation result are demonstrated to illustrate the correctness and effectiveness of the proposed method.