Synchronization of complex dynamical networks with nonidentical nodes |
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Authors: | Qiang Song Jinde Cao Fang Liu |
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Affiliation: | a School of Automation, Southeast University, Nanjing 210096, China b Department of Mathematics, Southeast University, Nanjing 210096, China c School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China |
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Abstract: | This Letter investigates the synchronization problem of a complex network with nonidentical nodes, and proposes two effective control schemes to synchronize the network onto any smooth goal dynamics. By applying open-loop control to all nodes and placing adaptive feedback injections on a small fraction of network nodes, a low-dimensional sufficient condition is derived to guarantee the global synchronization of the complex network with nonidentical nodes. By introducing impulsive effects to the open-loop controlled network, another synchronization scheme is developed for the network composed of nonidentical nodes, and an upper bound of impulsive intervals is estimated to ensure the global stability of the synchronization process. Numerical simulations are given to verify the theoretical results. |
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Keywords: | 05.45.Xt 05.45.Gg |
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