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Structure identification of an uncertain network coupled with complex-variable chaotic systems via adaptive impulsive control |
Liu Dan-Feng (刘丹峰), Wu Zhao-Yan (吴召艳), Ye Qing-Ling (叶青伶) |
College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China |
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Abstract In this paper, structure identification of an uncertain network coupled with complex-variable chaotic systems is investigated. Both the topological structure and the system parameters can be unknown and need to be identified. Based on impulsive stability theory and the Lyapunov function method, an impulsive control scheme combined with an adaptive strategy is adopted to design effective and universal network estimators. The restriction on the impulsive interval is relaxed by adopting an adaptive strategy. Further, the proposed method can monitor the online switching topology effectively. Several numerical simulations are provided to illustrate the effectiveness of the theoretical results.
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Received: 31 May 2013
Revised: 11 September 2013
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.-a
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(Nonlinear dynamics and chaos)
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Fund: Project supported by the Tianyuan Special Funds of the National Natural Science Foundation of China (Grant No. 11226242) and the Natural Science Foundation of Jiangxi Province of China (Grant No. 20122BAB211006). |
Corresponding Authors:
Wu Zhao-Yan
E-mail: zhywu7981@gmail.com
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About author: 05.45.Xt; 05.45.-a |
Cite this article:
Liu Dan-Feng (刘丹峰), Wu Zhao-Yan (吴召艳), Ye Qing-Ling (叶青伶) Structure identification of an uncertain network coupled with complex-variable chaotic systems via adaptive impulsive control 2014 Chin. Phys. B 23 040504
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