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Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and time delay

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  • Zhai, Shidong
  • Huang, Tao
  • Luo, Guoqiang
  • Wang, Xin
  • Ma, Jun

Abstract

This paper investigates the synchronization problem for coupled nonlinear systems in which antagonistic interactions and bounded time delay coexist. In order to make the network achieve bipartite synchronization, we design a pinning scheme to pin a part of agents such that the network is connected. Under the assumptions that the signed graph is structurally balanced, the nonlinear system satisfies one-sided Lipschitz and quadratic inner-boundedness conditions, we derive some bipartite synchronization conditions for non-differentiable and differentiable coupling delays respectively. All criteria are presented as linear matrix inequalities. Finally, we present two numerical examples about neural network to illustrate the effectiveness of the obtained results.

Suggested Citation

  • Zhai, Shidong & Huang, Tao & Luo, Guoqiang & Wang, Xin & Ma, Jun, 2022. "Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    • Handle: RePEc:eee:phsmap:v:593:y:2022:i:c:s0378437122000590
    DOI: 10.1016/j.physa.2022.126954
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    References listed on IDEAS

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    1. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.
    2. Guo, Xing & Lu, Jianquan & Alsaedi, Ahmed & Alsaadi, Fuad E., 2018. "Bipartite consensus for multi-agent systems with antagonistic interactions and communication delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 488-497.
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    6. Qiu, Xiaofen & Zhu, Guanghu & Ding, Yong & Li, Kezan, 2019. "Successive lag synchronization on complex dynamical networks via delay-dependent impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
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    8. Zhai, Shidong & Zhou, Yuan & Li, Qingdu, 2017. "Synchronization for coupled nonlinear systems with disturbances in input and measured output," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 227-237.
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