Structure identification of an uncertain network coupled with complex-variable chaotic systems via adaptive impulsive control

doi:10.1088/1674-1056/23/4/040504

中国物理B ›› 2014, Vol. 23 ›› Issue (4): 40504-040504.doi: 10.1088/1674-1056/23/4/040504

Structure identification of an uncertain network coupled with complex-variable chaotic systems via adaptive impulsive control

刘丹峰, 吴召艳, 叶青伶

College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China

收稿日期:2013-05-31 修回日期:2013-09-11 出版日期:2014-04-15 发布日期:2014-04-15
基金资助:
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).

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

Received:2013-05-31 Revised:2013-09-11 Online:2014-04-15 Published:2014-04-15
Contact: Wu Zhao-Yan E-mail:zhywu7981@gmail.com
About author:05.45.Xt; 05.45.-a
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: structure identification, network, complex-variable chaotic system, impulsive control

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.

Key words: structure identification, network, complex-variable chaotic system, impulsive control

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.-a (Nonlinear dynamics and chaos)

刘丹峰, 吴召艳, 叶青伶. Structure identification of an uncertain network coupled with complex-variable chaotic systems via adaptive impulsive control[J]. 中国物理B, 2014, 23(4): 40504-040504.

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[J]. Chin. Phys. B, 2014, 23(4): 40504-040504.

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Structure identification of an uncertain network coupled with complex-variable chaotic systems via adaptive impulsive control

Structure identification of an uncertain network coupled with complex-variable chaotic systems via adaptive impulsive control

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