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This paper considers the robust stability of linear discrete-time systems with nonlinear perturbations and interval time-varying delay in the state. By using a finite sum inequality approach, new delay-range-dependent stability criteria are developed in terms of linear matrix inequalities (LMIs). It is shown that the proposed criteria can provide less conservative results than some existing ones....
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 Hinfin filter design problems for discrete-time fuzzy systems with time-varying delays. First, 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 constant...
This paper considers the problem of delay-dependent robust stability criteria for linear discrete-time systems with polytopic parameter uncertainties and time-varying delay. By defining a new Lyapunov-Krasovskii function and incorporating a relaxed parameter-dependent technique combined with the idea of introducing free-weighting matrices to achieve delay dependence, an improved delay-dependent stability...
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