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The synchronization problem is concerned for a complex network with inner-coupling faults. Firstly, the model of this kind of complex network is established where the inner-coupling faults are presented by a sequence of fault factors. Then the synchronization criteria are derived based on the Lyapunov stability theory and master stability equation method in the form of linear matrix inequalities....
The main contribution of this paper is to propose a method for analyzing pinning stability in a directed complex dynamical network with time-varying delays. Some simple yet generic conditions for pinning such directionally coupling network are derived analytically. It is shown that the controllers could pin a given directed coupling network to a expected homogenous solution, including an equilibrium...
In this paper, a novel approach for analyzing the synchronization stability of coupled dynamical networks via impulsive control is proposed. It is shown that a single impulsive controller can always pin a given complex dynamical network to a homogenous solution, provided the coupling strength been properly selected. A generic criterion for pinning impulsive synchronization for such a network is also...
This paper studies the generalized synchronization between two completely different complex dynamical networks. We present two complex dynamical networks, in which the nodes of the network are different and each node has the different dimensional dynamical system. Then we give a nonlinear control scheme based on Lyapunov stability theory, and derive a sufficient criterion for this generalized synchronization...
A class of complex dynamical networks with time-varying coupling delays is proposed. By some transformation, the synchronization problem of the complex networks is transferred equally into the asymptotical stability problem of a group of uncorrelated delay functional differential equations. The delays considered in this paper is assumed to vary in an interval, where the lower and upper bounds are...
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