This paper considers the delay-dependent exponential stability for discrete-time BAM neural networks with time-varying delays. By constructing the new Lyapunov functional, the improved delay-dependent exponential stability criterion is derived in terms of linear matrix inequality LMI . Moreover, in order to reduce the conservativeness, some slack matrices are introduced in this paper. Two numer...

This note studies the exponential stability of nonlinear stochastic systems with time delay. Firstly, a more general Lyapunov-Krasovskii functional is constructed, and based on Ito calculus rules for stochastic systems, a novel delay-dependent sufficient condition for exponential stability in mean square is derived in terms of linear matrix inequalities, and it is proved in theory that the obta...

We use a Lyapunov-Krasovskii functional approach to establish the exponential stability of linear systems with time-varying delay. Our delay-dependent condition allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. A simple procedure for constructing switching rule is also presented. Mathematics Subject Classification 2000: 34K20, 93C1...

In this paper, exponential stabilization for three classes of uncertain nonlinear systems with time-varying delay is investigated. A continuous feedback control is constructed for each class of systems, under which global exponential stability of the feedback-controlled system can be guaranteed. Our results are shown to be generalizations of several results reported in recent literature. A nume...

The global exponential stability problem for a class of switched systems with mixed time delays is investigated in this paper. LMI-based delay-dependent and delay-independent criteria are proposed to guarantee the exponential stability for our considered systems. Razumikhin-like approach and Leibniz-Newton formula are used to find the stability results. Finally, a numerical example is illustrat...

This paper investigates impulsive stabilization of stochastic delay differential equations. Both moment and almost sure exponential stability criteria are established using the Lyapunov–Razumikhinmethod. It is shown that an unstable stochastic delay system can be successfully stabilized by impulses. The results can be easily applied to stochastic systems with arbitrarily large delays. An exampl...

In this paper, utilizing the Lyapunov functional method and combining linear matrix inequality (LMI) techniques and integral inequality approach (IIA) to study the exponential stability problem for neural networks with discrete and distributed time-varying delays.By constructing new Lyapunov-Krasovskii functional and dividing the discrete delay interval into multiple segments,some new delay-dep...

This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional LKF has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria, which are forms of linear matrix inequalities LMIs . By free-weight matrices method, the usual res...

In this paper, we investigate the effect of time delays in boundary or internal feedback stabilization of the multidimensional Schrödinger equation. In both cases, under suitable assumptions, we establish sufficient conditions on the delay term that guarantee the exponential stability of the solution. These results are obtained by using suitable energy functionals and some observability estimates.