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Robust Exponential Stability for Uncertain Linear Non-Autonomous Systems with Discrete and Distributed Time-Varying Delays

This paper investigates the problems of robust exponential stability and stabilization for uncertain linear non-autonomous control systems with discrete and distributed time-varying delays. Based on combination of the Riccati differential equation approach, linear matrix inequality (LMI) techinque and the use of suitable Lyapunov-Krasovskii functional, new sufficient conditions for the robust exponential stability and stabilization are obtained in terms of the solution of Riccati differential equations (RDEs) and LMIs.