Integral input-to-state stability of switched nonlinear systems

This paper addresses the issues of the input-to-state stability (ISS) and integral input-to-state stability (iISS) for a class of switched nonlinear systems. Based on a piecewise Lyapunov function method, some sufficient conditions are explicitly given to guarantee the ISS and iISS of the switched nonlinear system under a certain class of switching signals, respectively. Moreover, the Lyapunov function considered in this paper decays in a more general form, which is presented as the negative definite function of the state instead of just some negative multiple of the Lyapunov function. This gives a more general sufficient conditions of input-to-state stability for switched nonlinear systems.