This paper is devoted to the study of the coordinate stability in undirected networks of dynamical agents with time-varying transmission delay. Neighbor-based rules are adopted to realize local control strategies for these continuous-time autonomous agents. Sufficient and necessary conditions in terms of linear matrix inequalities (LMIs) are given to guarantee the coordination of dynamical agen...

A stability analysis of linear systems with stochastically varying delay is performed. It is assumed that the delay function has the form of a sawtooth with switches occurring at the arrival times of a homogeneous Poisson process. Several notions of stochastic stability are considered and corresponding stability criteria are derived. For two examples the different criteria are compared and the ...

In this paper, we study the complete synchronization of a class of time-varying delayed coupled chaotic systems using feedback control. In terms of Linear Matrix Inequalities, a sufficient condition is obtained through using a Lyapunov-Krasovskii functional and differential equation inequalities. The conditions can be easily verified and implemented. We present two simulation examples to illust...

This paper is concerned with the stability analysis problem of bidirectional associative memory neural networks with time-varying delays and leakage delays. A new sufficient stability criterion is derived for the addressed system in terms of linear matrix inequalities by constructing a Lyapunov-Krasovskii functional and employing delay decomposition approach. Finally, the effectiveness of deriv...

This paper is concerned with the problem of μ-stability of impulsive neural systems with unbounded time-varying delays and continuously distributed delays. Some μ-stability criteria are derived by using the Lyapunov-Krasovskii functional method. Those criteria are expressed in the form of linear matrix inequalities LMIs , and they can easily be checked. A numerical example is provided to demons...