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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. Jiahu Qin & Wei Zheng & Huijun Gao, 2011. "On pinning synchronisability of complex networks with arbitrary topological structure," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(9), pages 1559-1571.
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    4. 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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