Adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions |
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| Authors: | Dai Hao Jia Li-Xin and Zhang Yan-Bin |
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| Affiliation: | State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
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| Abstract: | The adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions is investigated in this paper.Based on Lyapunov stability theory and Barbalat’s lemma,generalized matrix projective lag synchronization criteria are derived by using the adaptive control method.Furthermore,each network can be undirected or directed,connected or disconnected,and nodes in either network may have identical or different dynamics.The proposed strategy is applicable to almost all kinds of complex networks.In addition,numerical simulation results are presented to illustrate the effectiveness of this method,showing that the synchronization speed is sensitively influenced by the adaptive law strength,the network size,and the network topological structure. |
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| Keywords: | complex networks generalized matrix projective lag synchronization adaptive control Lyapunov stability theory |
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