Global Synchronization of General Delayed Dynamical Networks
LI Zhi
Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433Department of Automatic Control Engineering, Xidian University, PO Box 136, Xi'an 710071
Global Synchronization of General Delayed Dynamical Networks
LI Zhi
Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433Department of Automatic Control Engineering, Xidian University, PO Box 136, Xi'an 710071
摘要Global synchronization of general delayed dynamical networks with linear coupling are investigated. A sufficient condition for the global synchronization is obtained by using the linear matrix inequality and introducing a reference state. This condition is simply given based on the maximum nonzero eigenvalue of the network coupling matrix. Moreover, we show how to construct the coupling matrix to guarantee global synchronization of network, which is very convenient to use. A two-dimension system with delay as a dynamical node in network with global coupling is finally presented to verify the theoretical results of the proposed global synchronization scheme.
Abstract：Global synchronization of general delayed dynamical networks with linear coupling are investigated. A sufficient condition for the global synchronization is obtained by using the linear matrix inequality and introducing a reference state. This condition is simply given based on the maximum nonzero eigenvalue of the network coupling matrix. Moreover, we show how to construct the coupling matrix to guarantee global synchronization of network, which is very convenient to use. A two-dimension system with delay as a dynamical node in network with global coupling is finally presented to verify the theoretical results of the proposed global synchronization scheme.
LI Zhi. Global Synchronization of General Delayed Dynamical Networks[J]. 中国物理快报, 2007, 24(7): 1869-1872.
LI Zhi. Global Synchronization of General Delayed Dynamical Networks. Chin. Phys. Lett., 2007, 24(7): 1869-1872.
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2007, Vol. 24 
