Matrix search algorithm of robust common quadratic Lyapunov function for uncertain switched systems

ABSTRACT:   Considering the stability problem of uncertain linear switched systems, this article puts forward a searching algorithm of Common Robust Quadratic Lyapunov Function (CRQLF). The sufficient conditions of CRQLF are given when the stable matrix set is not involuntary. The recurrence formula of CRQLF and the search algorithm in terms of Linear Matrix Inequality (LMI) are given. The simulation results verify the existence of the CRQLF for the stability of uncertain linear switched system under arbitrary switching signal.