In the paper, a general complex dynamical network with coupling lags is introduced. Then the problem of synchronization stability analysis for the complex dynamical network is further discussed. By use of linear matrix inequalities (LMI), a novel Lyapunov functional is constructed. And then we have obtained a new general stability criterion of synchronization state in the complex dynamical netw...

We follow a polynomial approach to analyse strong stability of linear difference equations with rationally independent delays. Upon application of the Hermite stability criterion on the discrete-time homogeneous characteristic polynomial, assessing strong stability amounts to deciding positive definiteness of a multivariate trigonometric polynomial matrix. This latter problem is addressed with ...

This paper is concerned with the robust stability for a class of switched discrete-time systems with state parameter uncertainty. Firstly, a new matrix inequality considering uncertainties is introduced and proved. By means of it, a novel sufficient condition for robust stability of a class of uncertain switched discrete-time systems is presented. Furthermore, based on the result obtained, the ...

In this paper, the problem of stability analysis of nonlinear stochastic Hopfield neural networks(FHNNs) with time-varying delays is investigated by using the Takagi-Sugeno(T-S) approach. Combined with both the fuzzy relaxed technique and an improved free-weighting matrix approach with weighting-dependent Lagrange multipliers, less conservative stability criteria is proposed via the Lyapunov-Kr...