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This paper presents a new approach to the problem of absolute stability analysis of Lur's systems subject to time-varying delay. A more general Lyapunov-Krasovskii functional is constructed to obtain some delay-dependent stability criteria by combining the free-weighting matrix technique. Since these criteria utilize more information on the state variables and no useful item is ignored throughout...
This paper is concerned with the estimation of the domain of attraction for a class of linear continuous-time systems subject to both interval time-varying delay and actuator saturation. A new type of delay-range-dependent condition is firstly proposed using the free-weighting matrix technique to derive a tighter upper bound on the derivative of a Lyapunov-Krasovskii functional. Based on it, a state...
This paper considers the problem of robust stability for Takagi-Sugeno fuzzy systems with time-varying delays and norm-bounded uncertainties. By choosing a more general Lyapunov-Krasovskii functional and using some slack matrix variables to express the relationship between the system matrices and the terms of Leibniz-Newton formula, a new less conservative delay-dependent condition for robust stability...
The problem of global asymptotic stability for a class of neural networks with variable delays is considered in this paper. Based on a more general Lyapunov-Krasovskii functional, a less conservative condition for global asymptotic stability is derived by using some slack matrix variables to express the relationship between the system matrices. The restriction on the derivative of the delay function...
The problem of absolute stability analysis for a class of time delay systems subject to sector-bounded nonlinearities is investigated in this paper. Some new stability conditions with less conservatism are derived based on a more general Lyapunov-Krasovskii functional. The obtained results are given in terms of linear matrix inequalities. Some numerical examples are given to illustrate the effectiveness...
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