Matrix analysis
Autowave principles for parallel image processing
Selcted papers from a meeting on Waves and pattern in chemical and biological media
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
Global Synchronization in an Array of Delayed Neural Networks With Hybrid Coupling
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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
Pattern recognition via synchronization in phase-locked loop neural networks
IEEE Transactions on Neural Networks
Robust Synchronization of an Array of Coupled Stochastic Discrete-Time Delayed Neural Networks
IEEE Transactions on Neural Networks
Brief paper: A unified synchronization criterion for impulsive dynamical networks
Automatica (Journal of IFAC)
IEEE Transactions on Neural Networks
ACM Transactions on Sensor Networks (TOSN)
Synchronization analysis of heterogeneous dynamical networks
Neurocomputing
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The globally exponential synchronization problem for general dynamical networks is considered in this paper. One quantity will be distilled from the coupling matrix to characterize the synchronizability of the corresponding dynamical networks. The calculation of such a quantity is very convenient even for large-scale networks. The network topology is assumed to be directed and weakly connected, which implies that the coupling configuration matrix can be asymmetric, weighted, or reducible. This assumption is more consistent with the realistic network in practice than the constraint of symmetry and irreducibility. By using the Lyapunov functional method and the Kronecker product techniques, some criteria are obtained to guarantee the globally exponential synchronization of general dynamical networks. In addition, numerical examples, including small-world and scale-free networks, are given to demonstrate the theoretical results. It will be shown that our criteria are available for large-scale dynamical networks.