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Robust decentralized adaptive synchronization of general complex networks with coupling delayed and uncertainties

Authors

  • Ping He,

    Corresponding author
    1. School of Information Science & Engineering, Northeastern University, Shenyang, Liaoning, People's Republic of China
    • Correspondence to: Ping He; School of Information Science and Engineering, Northeastern University, 11 Alley 3, Wenhua Road, Shenyang, Liaoning 110819, People's Republic of China. E-mail addresses: pinghecn@qq.com

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  • Chun-Guo Jing,

    1. School of Information Science & Engineering, Northeastern University, Shenyang, Liaoning, People's Republic of China
    2. School of Computer and Communication Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, Hebei, People's Republic of China
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  • Tao Fan,

    1. School of Automation and Electronic Information, Sichuan University of Science & Engineering, Zigong, Sichuan, People's Republic of China
    2. Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science & Engineering, Zigong, Sichuan, People's Republic of China
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  • Chang-Zhong Chen

    1. School of Automation and Electronic Information, Sichuan University of Science & Engineering, Zigong, Sichuan, People's Republic of China
    2. Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science & Engineering, Zigong, Sichuan, People's Republic of China
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Abstract

The problem of robust decentralized adaptive synchronization of general complex networks with coupling delayed and uncertainties is investigated in this article. It is only assumed that the upper normal bound of uncertain inner and outer coupling matrices is positive but its concrete structure is not also required to be known. The time-varying coupling delay is a any nonnegative continuous and bounded function and not require its derivative to be less than one, that is, general time-varying coupling delays and uncertainties. For such a class of uncertain complex networks, a new synchronization scheme is presented by a class of continuous memoryless robust decentralized adaptive synchronization controllers. It is also shown that the synchronization error dynamics of uncertain complex networks can be guaranteed as uniformly exponentially convergent toward a ball that can be as small as desired. Finally, numerical simulations are provided to demonstrate the effectiveness and robustness of proposed complex networks synchronization schemes. © 2013 Wiley Periodicals, Inc. Complexity 19: 10–26, 2014

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