Delay-Dependent Exponential Stability of Linear Systems with Fast Time-Varying Delay
نویسندگان
چکیده
Abstract This paper presents new exponential stability conditions for a class of linear systems with time-varying delay. Unlike the previous works, the delay function considered in this paper is time-varying without any requirement on the derivative, which means that a fast time-varying delay is allowed. Based on an improved Lyapunov-Krasovskii functional combined with Newton-Leibniz formula and free-weighting matrix method, the exponential stability conditions are derived in terms of Kharitonov -type linear matrix inequalities (LMIs), which allows one to compute simultaneously the two bounds that characterize the exponential stability rate of the solution.
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