Exponential stability of uncertain switched nonlinear time-delay systems with state-dependent switching

By using the state-dependent switching control strategy, the switching rule design for global exponential stability with H∞ performance of uncertain switched nonlinear systems with time-varying delay is considered. By using a Lyapunov-Krasovskii (LK) function technique, sufficient conditions for the existence of a class of stabilizing switching laws are derived in terms of linear matrix inequalities (LMIs) to guarantee the switched time delay system to be exponentially stable. The free weighting matrix and integral-inequality approaches are used to find the less conservative stability results. Numerical examples are provided to show the effectiveness and less conservativeness of the proposed methods. ©, 2014, Northeast University. All right reserved.