Synchronization stability of continuous/discrete complex dynamical networks with interval time-varying delays

Authors:
Dong Yue;Hongjie Li
Affiliations:
Institute of Information and Control Engineering Technology, Nanjing Normal University, Nanjing, Jiangsu 210042, PR China;College of Mathematics and Information and Engineering, Jiaxing University, Zhejing 314001, PR China and College of Information Science and Technology, Donghua University, Shanghai 201620, PR Chin ...
Venue:
Neurocomputing
Year:
2010

Citing 5
Cited 8

Further improvement on synchronization stability of complex networks with coupling delays

International Journal of Computer Mathematics - COMPLEX NETWORKS
New Delay-Dependent Exponential Stability for Neural Networks With Time Delay

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Synchronization and State Estimation for Discrete-Time Complex Networks With Distributed Delays

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Technical communique: Robust stabilization of uncertain systems with unknown input delay

Automatica (Journal of IFAC)
Delayed feedback control of uncertain systems with time-varying input delay

Automatica (Journal of IFAC)

Synchronization for general complex dynamical networks with sampled-data

Neurocomputing
Synchronization for an array of coupled stochastic discrete-time neural networks with mixed delays

Neurocomputing
Stability and synchronization for Markovian jump neural networks with partly unknown transition probabilities

Neurocomputing
Pinning Synchronization for a General Complex Networks with Multiple Time-Varying Coupling Delays

Neural Processing Letters
Stability analysis of impulsive parabolic complex networks with multiple time-varying delays

Neurocomputing
On synchronization criterion for coupled discrete-time neural networks with interval time-varying delays

Neurocomputing
Synchronization stability in complex interconnected neural networks with nonsymmetric coupling

Neurocomputing
Letters: Triple Lyapunov functional technique on delay-dependent stability for discrete-time dynamical networks

Neurocomputing

Quantified Score

Hi-index	0.01

Visualization

Abstract

The synchronization problem of continuous/discrete general complex dynamical networks with time-varying delays is investigated. The delays considered in this paper are assumed to vary in an interval, where the lower and upper bounds are known. Based on a piecewise analysis method, the variation interval of the time delay is firstly divided into several subintervals, by checking the variation of derivative of a Lyapunov functional in every subinterval, then the convexity of matrix function method and the free-weighting matrix method are fully used in this paper. Some new delay-dependent synchronization stability criteria are derived in the form of linear matrix inequalities. Several numerical examples show that our method can lead to much less conservative results than those in the existing references.