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Based on observer, delay-dependent robust H∞ controller design problem for time-delay systems with a class of nonlinear uncertainties is discussed in the paper. Assuming that the nonlinear uncertain functions in the considered model are gain-bounded, we obtain a sufficient condition for the robustly asymptotic stability and H∞ performance of the closed-loop system in the light of Lyapunov stability...
In this paper, the problem of passivity for Hopfield neural networks with time-varying delay is investigated. Different from the others, the restriction that the derivative of time-varying delay be less than 1 is removed. The descriptor model transformation is used to ensure a less conservative criterion. The obtained passivity criterion is formulated in terms of linear matrix inequalities. Two numerical...
The problem of robust control for a class of delta-operator systems with time varying delays and linear fractional uncertainties is investigated. Attention is focused on the design of a delay-dependent state feedback controller which guarantees the asymptotically stable of the corresponding closed-loop system for all admissible uncertainties. Based on Lyapunov-Krasovkii functional, the delay-dependent...
The problem of absolute stability for Lurpsilae singular systems with time-varying delay is presented. The uncertainty is assumed to be norm bounded. By establishing an integral inequality based on quadratic terms, which avoids employing both model transformation and bounding technique for cross terms, some delay-dependent absolute stability criteria are obtained and formulated in the form of linear...
In this paper, we consider the problems of robust stability and stabilization of Lurpsilae control systems with time-varying delay. Firstly, by making use of an integral inequality, some delay-dependent robust stability conditions of the system are presented. Then, a sufficient stabilization criterion is established in the terms of linear matrix inequality (LMI), based on the above stability condition...
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