Exponentially adaptive synchronization of an uncertain delayed dynamical network |
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Authors: | Qunjiao Zhang Jun’an Lu |
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Institution: | (1) Department of Mathematics, Shanghai University, Shanghai, 200444, China;(2) The School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China |
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Abstract: | Over the past decades, complex networks have been prosperous greatly in various fields of sciences and engineering. Much attention
has been given to investigate the synchronization of complex networks in recent years. However, few work has done for the
networks with uncertain parameters and unknown topology. In this paper, to further reveal the dynamical mechanism in complex
networks with time delays, an uncertain general complex dynamical network with delayed nodes is studied. By constructing a
drive network and a suitable slave network, several novel criteria for the networks consisting of the identical nodes and
different nodes have been obtained based on the adaptive feedback method. Particularly, the hypotheses and the proposed adaptive
laws for network synchronization are simple and can be readily applied in practical applications. Finally, numerical simulations
are provided to illustrate the effectiveness of the proposed synchronization criteria. |
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Keywords: | |
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