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

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.