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Global synchronization of complex dynamical networks with network failures

Network failure refers to the case that parts or all of the connections in the network become disconnected. In this paper, the global synchronization of complex dynamical networks with network failures is studied based on the framework of switching system. For simplicity, assume that the network becomes totally unavailable when network failures happen and it takes a period of time to fix the network. In order to ensure the global synchronization of CDNs with network failures, the upper bounds of both the unavailability rate of the network and the frequency of network failures are obtained, respectively. Illustrated examples and the simulation results also show the effectiveness of the proposed result. Copyright © 2009 John Wiley & Sons, Ltd.