H∞ guaranteed cost analysis for uncertain time-delay systems via parameter-dependent Lyapunov functionals

The problem of h(infinity) guaranteed cost analysis is considered for time-delay systems with convex polytopic-type uncertainties. Based on the linear matrix inequality (LMI) approach, sufficient conditions are derived for given H-infinity cost of the systems via parameter-dependent Lyapunov functionals. Furthermore, the computation problems of the optimal H-infinity cost are formulated-as a convex optimization problem with LMI constraints. Finally, an example shows the effectiveness of the proposed approach.