Stability of Discrete-Time Systems with Time-Varying Delay: Delay Decomposition Approach
Keywords:time-delay systems, interval time-varying delay, asymptotic stability, delay-dependent stability, Lyapunov-Krasovskii methods
This article deals with the problem of obtaining delay-dependent stability conditions for a class of discrete-time systems with interval time-varying delay. Using the decomposition the delay interval into two unequal subintervals by tuning parameter Î±, a new interval delay-dependent Lyapunov-Krasovskii functional is constructed to derive novel delay-dependent stability conditions which are expressed in terms of linear matrix inequalities. This leads to reduction of conservatism in terms of the upper bounds of the maximum time-delay. The numerical examples show that the obtained result is less conservative than some existing ones in the literature.
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