Pinning a complex dynamical network via impulsive control |
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Authors: | Aihua Hu Zhenyuan Xu |
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Affiliation: | a School of Science, Jiangnan University, Wuxi 214122, PR China b School of Information Technology, Jiangnan University, Wuxi 214122, PR China |
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Abstract: | Complex dynamical networks are being studied across many fields of science and engineering today. The issue of controlling a network to the desired state has attracted increasing attention. In this Letter, we investigate the problem of pinning a complex dynamical network to the solution of an uncoupled system. Our strategy is to apply impulsive control to a small fraction of network nodes. Based on the Lyapunov stability theory, we prove that the theoretical results derived here are effective. In addition, a B-A scale-free network with 20 nodes is taken for illustration and verification. |
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Keywords: | 05.45.+b |
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