Robust stability for uncertain switched systems with interval time-varying delay

This paper addresses the design of switching rule for robust stability of a class of uncertain switched system with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to design switching rule for the robust stability of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of LMIs which can be solved by various available algorithms.