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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 asymptotic stability analysis for static recurrent neural networks with interval time-varying delays. The activation functions are assumed to be neither monotonic, nor differentiable, nor bounded. Without introducing any free-weighting matrices, some delay-range-dependent stability criteria are established by constructing a new Lyapunov-Krasovskii functional. As a result, the...
This paper is concerned with the asymptotic stability analysis problem for stochastic neural networks with distributed and time-varying delays. By using the stochastic analysis approach, employing some free-weighting matrices and introducing an appropriate type of Lyapunov functional which take into account the ranges of delays, a new stability criterion is established in terms of linear matrix inequalities...
In this paper, the stability of neural networks (NNs) with time-varying delays is investigated. By introducing a new Lyapunov-Krasovskii functional in virtue of the linearization of the model under investigation and considering the additional useful terms when estimating the upper bound of the derivative of Lyapunov functional, a new delay-dependent stability criterion is established in term of linear...
The stability of cellular neural networks (CNNs) with time-varying delays and parametric uncertainties is investigated in the present paper. By introducing a new Lyapunov-Krasovskii functional in virtue of the linearization of the model under investigation and considering the additional useful terms when estimating the upper bound of the derivative of Lyapunov functional, new delay-dependent stability...
The delay-dependent robust Hinfin control problem for a class of nonlinear time-delay system is investigated in this paper. An uncertain Takagi-Sugeno (T-S) fuzzy model is adopted for representing a nonlinear system with time-varying delay, in which the modeling errors are absorbed in the uncertain part. The design method of delay-dependent robust Hinfin controller is firstly established via the...
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