Synchronization in Drive-Response Dynamical Networks Based on Nonlinear Control

Abstract:

In this paper, synchronization in drive-response dynamical networks is investigated. By using the Gerschgorins disk theorem and the stability theory, a nonlinear controller is designed to make the drive-response dynamical networks synchronized. Some sufficient conditions for achieving the synchronization of the drive-response dynamical networks are derived. The structure of the network can be random, regular, small-world, or scale-free. A numerical example is given to demonstrate the validity of the proposed method, in which the famous Lorenz system is chosen as the nodes of the network. Simulation results have verified the correctness and effectiveness of the proposed scheme. Moreover, it is worth noting that the time used for achieving synchronization of the drive-response dynamical networks sensitively depends on the coupling strength .

• Periodical: Advanced Materials Research (Volumes 791-793)
• Pages: 652-657
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.791-793.652
• Online since: September 2013
• Authors: Dong Dong Feng
• Keywords: Drive-Response Dynamical Networks, Nonlinear Control, Synchronization

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