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In this paper, the delay-dependent H∞ performance criterion which possesses decoupling structure is derived for systems with time-varying delay. It can reduce conservatism inherent in the classical quadratic method by providing a parameter-dependent Lyapunov function. Then the robust H∞ controller is designed for time-delay systems with polytopic uncertainty. All the conditions are given in terms...
In this paper, the variable structure control problem for a class of uncertain stochastic systems with time-varying delay is investigated. A new concept of the subordinated reachable property of the sliding motion is introduced. The variable structure control law is then proposed to ensure that the sliding motion is subordinated reachable. And a sufficient condition for mean square asymptotical stability...
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...
This paper deals with the problem of delay-dependent exponential stability in the mean square for a class of uncertain stochastic systems with time-varying delay and nonlinearities. By using Lyapunov-Krosovskii functional method combined with linear matrix inequalities (LMIs) techniques, some new delay-dependent stability criteria in terms of LMIs are derived by introducing some free weighting matrices...
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