Synchronization of a class of dynamical complex networks with nonsymmetric coupling based on decentralized control

Authors:
Haiqing Zheng;Yuanwei Jing;Xiuping Zheng;Nan Jiang
Affiliations:
School of Information Science and Engineering, Northeastern University, Shenyang, China;School of Information Science and Engineering, Northeastern University, Shenyang, China;School of Information Science and Engineering, Northeastern University, Shenyang, China;School of Information Science and Engineering, Northeastern University, Shenyang, China
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 3
Cited 1

Absolute stability for multiple delay general Lur'e control systems with multiple nonlinearities

Journal of Computational and Applied Mathematics
Robust stability for delay Lur'e control systems with multiple nonlinearities

Journal of Computational and Applied Mathematics
Brief paper: Stability analysis and decentralized control of a class of complex dynamical networks

Automatica (Journal of IFAC)

Synchronization stability in complex interconnected neural networks with nonsymmetric coupling

Neurocomputing

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Abstract

In this paper, the synchronization problem for dynamical complex networks composed of general Lur'e systems is dealt with. Based on the Jordan canonical transformation method and a Lur'e-Postnikov function, the global synchronization criteria for dynamical complex networks with non-symmetric coupling are established and formulated as LMI. A decentralized control strategy based on projection lemma and Lur'e-Postnikov function is proposed in order to reduce the conservativeness. A dynamical complex network composed of identical Chua's oscillators is adopted as a numerical example to demonstrate the effectiveness of the proposed results.