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Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time‐Varying Delay Couplings

Author

Listed:
  • Na Fang
  • Da Wei
  • Nan-nan Yin
  • Dan-ying Xu
  • Hua Liu
  • Jie Fang

Abstract

This paper deals with the function projective synchronization of two complex dynamic networks with unknown sector nonlinear input, multiple time‐varying delay couplings, model uncertainty, and external interferences. Based on Lyapunov stability theory and inequality transformation method, the robust adaptive synchronization controller is designed, by which the drive and response systems can achieve synchronization according to the function scaling factor. Different from some existing studies on nonlinear system with sector nonlinear input, this paper studies the synchronization of two complex dynamic networks when the boundary of sector nonlinear input is unknown. The controller does not include the boundary value of the sector nonlinear input and the time delay term, so it is more practical and relatively easy to implement. The corresponding simulation examples demonstrate the effectiveness of the proposed scheme.

Suggested Citation

  • Na Fang & Da Wei & Nan-nan Yin & Dan-ying Xu & Hua Liu & Jie Fang, 2022. "Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time‐Varying Delay Couplings," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:2656836
    DOI: 10.1155/2022/2656836
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    References listed on IDEAS

    as
    1. Jin, Yunguo & Zhong, Shouming, 2015. "Function projective synchronization in complex networks with switching topology and stochastic effects," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 730-740.
    2. Chih-Hsueh Lin & Guo-Hsin Hu & Jun-Juh Yan, 2020. "Chaos Suppression in Uncertain Generalized Lorenz–Stenflo Systems via a Single Rippling Controller with Input Nonlinearity," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    3. Liangzhi Gan & Shuo Li & Na Duan & Xiangyong Kong, 2020. "Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays," Mathematics, MDPI, vol. 8(3), pages 1-10, March.
    4. Ding, Dong & Tang, Ze & Wang, Yan & Ji, Zhicheng, 2020. "Synchronization of nonlinearly coupled complex networks: Distributed impulsive method," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
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