On Synchronization of Pinning-Controlled Networks With Reducible and Asymmetric Coupling Matrix

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Executive Summary

Complex dynamical networks are found to be common systems in the real world, such as genetic regulatory networks, biological neural networks, telephone graphs, etc. Therefore, lots of researchers from many fields of science and engineering are attracted to focus on analyzing their complex behaviors. Particularly, the synchronization of a complex network has received great interest and attention. In mathematical view, a concrete system can be modeled simply by a graph, where the nodes represent individuals of the networks and the edges stand for interactions between them. Therefore, Lyapunov stability theories and algebraic graph theories, as two essential tools, are used to study dynamic behaviors of the complex networks.

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