Further results on exponential stability for impulsive switched nonlinear time-delay systems with delayed impulse effects

This paper is concerned with the problem of exponential stability for a class of impulsive switched nonlinear time-delay systems with delayed impulse effects. By using the multiple Lyapunov–Krasovskii functionals technique, some exponential stability criteria are obtained, respectively, for two kinds of impulsive signals (destabilizing impulsive signal and stabilizing impulsive signal). The derived results not only characterise the effects of delayed impulse, time delay and switching on nonlinear systems, but also remove some restriction conditions. Furthermore, a more precise bound of system state is given. Compared with existing results on related problems, the obtained results are less conservative. Three examples are provided to illustrate the effectiveness and the generality of the proposed results.