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Finite/Fixed-Time Bipartite Synchronization of Coupled Delayed Neural Networks Under a Unified Discontinuous Controller

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Abstract

This paper considers the finite-time and fixed-time bipartite synchronization (FFTBS) of coupled delayed neural networks (CDNNs) under signed graphs. For the structurally balanced or unbalanced network topology, both the goals of FFTBS of CDNNs are achieved simultaneously by a unified discontinuous controller. Some sufficient criterion are obtained to ensure the FFTBS under the new designed protocols, and the corresponding settling times are estimated as well. Finally, two simulations are established to verify the validity and effectiveness of the designs.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grants Nos. 61773185, 61877030, and in part by Qing Lan Project.

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Authors and Affiliations

  1. Research Center for Complex Networks and Swarm Intelligence, School of Computer Science and Technology, Jiangsu Normal University, Xuzhou, 221116, China

    Haocong Wu, Xia Wang & Xiaoyang Liu

  2. School of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao

Authors
  1. Haocong Wu
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  2. Xia Wang
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  3. Xiaoyang Liu
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  4. Jinde Cao
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Correspondence to Xia Wang.

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Wu, H., Wang, X., Liu, X. et al. Finite/Fixed-Time Bipartite Synchronization of Coupled Delayed Neural Networks Under a Unified Discontinuous Controller. Neural Process Lett 52, 1359–1376 (2020). https://doi.org/10.1007/s11063-020-10308-6

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  • DOI: https://doi.org/10.1007/s11063-020-10308-6

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