Further improvement on synchronization stability of complex networks with coupling delays

Authors:
Shaoshuai Mou;Huijun Gao;Yu Zhao;Wenyi Qiang
Affiliations:
Department of Control Science and Engineering, Harbin Institute of Technology, China;Department of Control Science and Engineering, Harbin Institute of Technology, China;Department of Control Science and Engineering, Harbin Institute of Technology, China;Department of Control Science and Engineering, Harbin Institute of Technology, China
Venue:
International Journal of Computer Mathematics - COMPLEX NETWORKS
Year:
2008

Citing 5
Cited 7

Stability of Time-Delay Systems

Stability of Time-Delay Systems
A delay-dependent approach to robust H∞ filtering for uncertain discrete-time state-delayed systems

IEEE Transactions on Signal Processing
Robust filtering for a class of stochastic uncertain nonlineartime-delay systems via exponential state estimation

IEEE Transactions on Signal Processing
Robust H∞ filter design of uncertain descriptor systems with discrete and distributed delays

IEEE Transactions on Signal Processing
Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays

IEEE Transactions on Neural Networks

New synchronization stability of complex networks with an interval time-varying coupling delay

IEEE Transactions on Circuits and Systems II: Express Briefs
Synchronization stability of continuous/discrete complex dynamical networks with interval time-varying delays

Neurocomputing
Globally exponential synchronization and synchronizability for general dynamical networks

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On robust stability of stochastic genetic regulatory networks with time delays: a delay fractioning approach

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on game theory
Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays

IEEE Transactions on Neural Networks
Distributed state estimation in sensor networks with randomly occurring nonlinearities subject to time delays

ACM Transactions on Sensor Networks (TOSN)
Improved delay-dependent stability criteria for recurrent neural networks with time-varying delays

Neurocomputing

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper revisits the problem of synchronization stability for general complex dynamical networks with coupling delays. A new delay-dependent criterion is derived by introducing a new kind of Lyapunov-Krasovskii functional and is formulated in terms of a linear matrix inequality, which can be readily solved via standard software. This new criterion based on a delay fractioning approach is proved to be much less conservative and the conservatism could be notably reduced by thinning the delay fractioning. Furthermore, the resulting criterion is further extended to the synchronization stability analysis of complex dynamical networks with time-varying structured uncertainties. Two numerical examples are provided to show the effectiveness and advantage of the proposed results.