Stability of switched nonlinear time-varying perturbed systems

The problem of uniform asymptotic stability of switched nonlinear time-varying perturbed systems is considered in this paper. First, we consider the uniform asymptotic stability of switched perturbed systems with mode-independent perturbation by using common Lyapunov function. Secondly, the same system with mode-depending perturbation is considered by using multiple Lyapunov functions. Then an example is presented to show the efficiency of our result.