Quadratic Robust Stabilization of a Class of Switched Linear Systems with Uncertainties

The quadratic robust stabilization problem for a class of switched linear systems with uncertainties is studied. The systems not only contain uncertainties, but also experience uncertainties in the input channels. Suppose there exists common Lyapunov function every subsystem of switched linear system, the sufficient conditions for quadratic robust stabilization of the switched systems with uncertainties are presented by using Lyapunov methods. When certain family matrices are negative definite, quadratic robust stabilization under arbitrary switching laws is obtained.