Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes |
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| Authors: | Wang Shu-Guo Yao Hong-Xing |
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| Affiliation: | a. Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou 213022, China;
b. School of Finance & Economics, Jiangsu University, Zhenjiang 212013, China |
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| Abstract: | This paper deals with the pinning synchronization of nonlinearly coupled complex networks with time-varying coupling delays and time-varying delays in the dynamical nodes. We control a part of the nodes of the complex networks by using adaptive feedback controllers and adjusting the time-varying coupling strengths. Based on the Lyapunov--Krasovskii stability theory for functional differential equations and a linear matrix inequality (LMI), some sufficient conditions for the synchronization are derived. A numerical simulation example is also provided to verify the correctness and the effectiveness of the proposed scheme. |
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| Keywords: | complex networks adaptive feedback controllers time-varying delays pinning controllers |
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