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This paper studies the problem of stability analysis for discrete-time delay systems. By using a delay decomposition approach and the discrete Jensen inequality, a new stability criterion is presented in terms of linear matrix inequalities (LMIs) and proved to be less conservative than the existing ones. A numerical example is given to illustrate the effectiveness and advantages of the proposed method.
This paper investigates delay-dependent H∞ filter design problems for discrete-time fuzzy systems with time-varying delays. Firstly, a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DDPLKF) is proposed, in which both the upper bound of delays and the delay interval are considered. Based on this DDPLKF, the delay-dependent stability criteria for discrete-time systems with time-varying...
This brief is concerned with delay-dependent robust Hinfin filtering for uncertain discrete-time systems with time-varying delay. The uncertainty is of convex polytopic type. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent bounded real lemma (BRL) is derived. In combination with a parameter-dependent Lyapunov-Krasovskii functional, which allows the Lyapunov-Krasovskii...
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