Delay-Dependent Robust Stability and Stabilization for Polytopic Systems with Time-Varying Delay

【摘要】：正The paper addresses robust stability and stabilization for continuous time-delay systems with polytopic uncertainty. The delay is assumed time-varying with both its value and variation rate being bounded.Based on a new Lyapunov-Krasovskii functional and the application of delay partitioning and the Jensen inequality techniques,a set of sufficient LMI conditions is obtained to ensure the asymptotical stability of a nominal system.Since there is no product term of Lyapunov matrix with any system matrix,the extension to cope with polytopic uncertainty is straightforward.The robust stabilization problem of computing a state feedback gain is also solved.Numerical examples are given to show the effectiveness and the improvement of the derived results.