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The input-to-state stability (ISS) problem is studied for switched systems with infi-nite subsystems. By using multiple Lyapunov function method, a sufficient ISS condition is given based on a quantitative relation of the control and the values of the Lyapunov functions of the subsystems before and after the switching instants. In terms of the average dwell-time of the switching laws, some sufficient ISS con-ditions are obtained for switched nonlinear systems and switched linear systems, respectively.
The using-multiple Lyapunov function method, a sufficient ISS condition is given based on a quantitative relation of the control and the values of the Lyapunov functions of the subsystems before and after the switching instants. respectively terms of the dwell-time of the switching laws, some sufficient ISS con-ditions are obtained for switched nonlinear systems and switched linear systems, respectively.