Abstract
This paper investigates the stability and stabilization pr oblems for a class of uncertain time-delay systems. For exploring the stability problem, the Lyapunov-Krasovskii function (LKF) method and Leibniz-Newton formula are adopted to analyze the stability problems of a class of uncertain time-delay systems. In addition, the proposed delay-dependent stability conditions f or a class of time-delay unforced systems can be formulated by linear matrix inequalities (LMIs). By examining the stabilization pr oblem, based on the sliding mode control scheme, some assumptions, and some transformations, the delay-dependent stabilization condition for uncertain time-delay system is propounded to guarantee the asymptotic stabilization of uncertain time-delay system i n this paper. Moreover, based on the Schur complement formula and some variable transformations, the delay-dependent stabilizatio n conditions of the uncertain time-delay system can be presented in terms of linear matrix inequality (LMI) form. Finally, a numerical example is illustrated to demonstrate the effectiveness and validity of the proposed control scheme.
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