Adaptive synchronization of weighted complex dynamical networks with coupling time-varying delays |
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Authors: | Lei Wang Hui Dong You-xian Sun |
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Institution: | a State Key Laboratory of Industrial Control Technology, Institute of Industrial Control, Zhejiang University, Hangzhou 310027, PR China b College of Information Engineering, Zhejiang University of Technology, Hangzhou 310032, PR China c Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, PR China |
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Abstract: | This Letter considers the problem of controlling a weighted complex dynamical network with coupling time-varying delay toward an assigned evolution. Adaptive controllers have been designed for nodes of the controlled network. Analytical results show that the states of the weighted dynamical network can globally asymptotically synchronize onto a desired orbit under the designed controllers. In comparison with the common linear feedback controllers, the adaptive controllers have strong robustness against asymmetric coupling matrix, time-varying weights, delays, and noise. Numerical simulations illustrated by a nearest-neighbor coupling network verify the effectiveness of the proposed controllers. |
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Keywords: | 05 45 Gg 05 45 Xt 89 75 Hc |
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