LAUSR

Abstract This paper addresses the issues of finite-time bounded (FTB) and finite-time H ∞ control for nonlinear impulsive switched systems. By constructing appropriate multiple Lyapunov functions and employing mode-dependent average dwell time (MDADT) approach, some sufficient conditions are given to ensure that the system is FTB and finite-time H ∞ controllable. Moreover, a hybrid dynamic output feedback controller which contains continuous-time control and discrete-time control is designed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.