Stability Of A Class Of Nonlinear Switched Systems Based On Composite Lyapunov Function

Through constructing the composite Lyapunov function, the stability conditions which sliding mode that may occur has no effect on can be obtained. Firstly, stabilization problems of a class of switched linear control systems are considered by using a composite Lyapunov function and the sufficient condition of stability of closed-loop systems can be obtained. Secondly, the stability problems of a family non-linear switched systems are studied by using a composite Lyapunov function and the stability conditions are given. Finally, the stability of a class of switched linear systems with perturbation are considered.