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Fixed-time control of competitive complex networks

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Abstract

This paper aims to establish several synchronization criteria of competitive complex networks (CCNs) by using fixed-time (FDT) control. In CCNs, the variations of different nodes are diverse if they are influenced by external environment. Here, we design two types of controller to deal with the different variations of nodes. Meanwhile, these designed controllers guarantee the synchronization of the CCNs in a given time. The estimated settling time improves corresponding results in the literature. Furthermore, based on rigorous mathematical proof and the structured comparison system, several FDT synchronization criteria are obtained. Some comparisons are presented to show the advantages of these new theoretical results. The validity of our theoretical results is illustrated by numerical simulations.

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Acknowledgements

This work was jointly supported by the National Natural Science Foundation of China (NSFC) (Nos. 61673078, 61903052, 62003065), the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJQN202000510), the Basic and Frontier Research Project of Chongqing (No. cstc2018jcyjAX0369), and the Scientific Research Fund of Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (No. 2018MMAEZD01), Foundation Project of Chongqing Normal University (No. 20XLB003).

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Authors and Affiliations

  1. College of Computer and Information Science, Chongqing Normal University, Chongqing, 401331, China

    Wanli Zhang

  2. College of Electronics and Information Engineering, Sichuan University, Chengdu, 610065, China

    Xinsong Yang

  3. School of Computer Science and Information Engineering, Chongqing Technology and Business University, Chongqing, 400067, China

    Shiju Yang

  4. Department of Mathematics, College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410076, Hunan, China

    Chuangxia Huang

  5. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Fuad E. Alsaadi

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  1. Wanli Zhang
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  2. Xinsong Yang
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  3. Shiju Yang
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  4. Chuangxia Huang
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  5. Fuad E. Alsaadi
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Correspondence to Xinsong Yang.

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Zhang, W., Yang, X., Yang, S. et al. Fixed-time control of competitive complex networks. Neural Comput & Applic 33, 7943–7951 (2021). https://doi.org/10.1007/s00521-020-05539-6

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  • DOI: https://doi.org/10.1007/s00521-020-05539-6

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