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Synchronization of Nonlinear Complex Spatiotemporal Networks Based on PIDEs with Multiple Time Delays: A P-sD Method

Author

Listed:
  • Jiashu Dai

    (School of Computer and Information, Anhui Polytechnic University, Wuhu 241000, China
    These authors contributed equally to this work.)

  • Chengdong Yang

    (School of Information Science and Technology, Linyi University, Linyi 276005, China
    These authors contributed equally to this work.)

Abstract

This paper studies the synchronization control of nonlinear multiple time-delayed complex spatiotemporal networks (MTDCSNs) based on partial integro-differential equations. Firstly, dealing with an MTDCSN with time-invariant delays, P-sD control is employed and the synchronization criteria are obtained in terms of LMIs. Secondly, this control method is further used in an MTDCSN with time-varying delays. An example illustrates the effectiveness of the proposed methods.

Suggested Citation

  • Jiashu Dai & Chengdong Yang, 2022. "Synchronization of Nonlinear Complex Spatiotemporal Networks Based on PIDEs with Multiple Time Delays: A P-sD Method," Mathematics, MDPI, vol. 10(3), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:509-:d:742703
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    References listed on IDEAS

    as
    1. Călin-Adrian Popa & Eva Kaslik, 2020. "Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays," Mathematics, MDPI, vol. 8(7), pages 1-17, July.
    2. Yang, Xiaofeng & Yu, Jinping & Xu, Mengna & Fan, Wenjing, 2018. "Convertible bond pricing with partial integro-differential equation model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 152(C), pages 35-50.
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