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This paper deals with the problem of delay-dependent robust stability for a class of linear systems with multiple time-varying delays and nonlinear perturbations. Based on an integral-equality approach, the integral equality is an improved version of integral inequality and is constructed with free weighting matrices. The free terms are chosen according to the derivative of the Lyapunov-Krasovshii...
This paper deals with the problem of delay-dependent robust stability for a class of linear systems with multiple time-varying delays and nonlinear perturbations. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, LMIs are derived by taking the relationship between the Leibniz-Newton formula and free weighting matrices, The free terms are chosen according...
In this paper, the estimation problem of the solution matrix about the perturbed continuous time algebraic Lyapunov equation (PCTALE) is discussed. The estimation of upper and lower bounds of the solution matrix to the equation under a certain uncertainty assumption are presented by applying the calculation properties of matrix and some inequalities, and the estimation results are given by continuous...
Robust Hinfin control for uncertain discrete time-delay systems with disturbances and nonlinear perturbations is studied. The delay is time varying. The uncertainties are norm bounded, and the nonlinear perturbations meet linear constraints. Based on Lyapunov-Krasovskii functional, two new delay-dependent results are presented in terms of matrix inequalities technique and nonlinear dealing method...
The robust synchronization of a class of uncertain chaotic neural networks with parameters perturbation and external disturbances is investigated in this paper. The time-delay feedback control term is introduced in the synchronization controller to achieve the robust synchronization of the drive-response structure of neural networks. Based on the Lyapunov stability theory and linear matrix inequality...
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