Huan Pan

New stability analysis for linear neutral system via state matrix decomposition

This paper deals with the problem of delay-dependent stability for neutral systems. The matrix decomposition technique is employed to reduce the conservativeness of stability conditions. The main results are extended to the neutral system with time-varying uncertainties. The proposed methods are with simpler form in terms of LMI and better performance than the existing ones in the literatures. Numerical examples are given to illustrate the effectiveness of the proposed methods.

Synchronization in Dynamic Networks with Time-varying Delay Coupling Based on Linear Feedback Controllers

Abstract This paper focuses on the synchronization problems of general complex dynamical networks with time-varying delay. Two cases of the time-varying delay are considered — one being continuous-uniformly bounded and the other being differentiable-uniformly bounded with the derivative. And the coupling configuration matrix is also assumed to be asymmetric and reducible. Some new delay-dependent synchronization criteria are derived and a strategy for synchronization is presented based on a method of linear state feedback controller. The bounds of controller are solved by Matlab. Numerical examples are given to illustrate the effectiveness of the proposed synchronization criteria.

Some synchronization criteria for general complex networks with coupling delays

A general complex delayed dynamical network model with asymmetric coupling matrix is considered in this paper. For reducing the conservativeness of synchronization criteria, several novel synchronization stability conditions are presented by using delay decomposition methods. Numerical examples which are widely used to study delay-dependent synchronization stability are given to illustrate the effectiveness of the proposed methods.