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Adaptive Finite‐Time Mixed Interlayer Synchronization of Two‐Layer Complex Networks with Time‐Varying Coupling Delay

Author

Listed:
  • Xiaoyun Tang
  • Zhanying Yang
  • Jie Zhang

Abstract

This paper is concerned with two‐layer complex networks with unidirectional interlayer couplings, where the drive and response layer have time‐varying coupling delay and different topological structures. An adaptive control scheme is proposed to investigate finite‐time mixed interlayer synchronization (FMIS) of two‐layer networks. Based on the Lyapunov stability theory, a criterion for realizing FMIS is derived. In addition, several sufficient conditions for realizing mixed interlayer synchronization are given. Finally, some numerical simulations are presented to verify the correctness and effectiveness of theoretical results. Meanwhile, the proposed adaptive control strategy is demonstrated to be nonfragile with the noise perturbation.

Suggested Citation

  • Xiaoyun Tang & Zhanying Yang & Jie Zhang, 2018. "Adaptive Finite‐Time Mixed Interlayer Synchronization of Two‐Layer Complex Networks with Time‐Varying Coupling Delay," Advances in Mathematical Physics, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:7025404
    DOI: 10.1155/2018/7025404
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    References listed on IDEAS

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    1. Lin, Xiangze & Li, Xueling & Li, Shihua & Zou, Yun, 2016. "Finite-time boundedness for switched systems with sector bounded nonlinearity and constant time delay," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 25-40.
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