Input-to-State Stability of Impulsive Switched Systems Involving Uncertain Impulse-Switching Moments

Dear Editor, This letter studies the input-to-state stability (ISS) for a class of impulsive switched systems, where uncertain impulse-switching moments are involved. The robustness of ISS with respect to the perturbations of the occurrence time of impulse-switching moments is revealed by several less conservative dwell-time conditions for the uncertain impulse-switching moments combined with Lyapunov conditions. Moreover, the Lyapunov conditions have multiple coefficients at discrete time so as to handle the hybrid effect of impulseswitching moments, and the case that time derivative of Lyapunov function is indefinite is also taken into account. Finally, a numerical example is proposed to illustrate the effectiveness of the theoretical results.