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Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying Delays

Author

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  • Hebing Zhang
  • Xiaojing Zheng
  • Ning Li
  • Giulio E. Cantarella

Abstract

The finite-time pinning synchronization control problem is studied for coupled complex networks with time-varying delays. Based on the finite-time stability theorem, a finite-time tractive synchronous controller is designed. In addition, the selection process of tractive nodes is developed to control as few nodes as possible such that all nodes are synchronized in the network in finite time. At the same time, sufficient conditions of the finite-time constraint synchronization of the drive-response network are obtained using the Lyapunov stability theory and the matrix inequality method. The effectiveness of the proposed controller is verified by numerical simulation. This approach can be applied to large-scale complex networks with time-varying delays.

Suggested Citation

  • Hebing Zhang & Xiaojing Zheng & Ning Li & Giulio E. Cantarella, 2022. "Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-11, May.
    • Handle: RePEc:hin:jnddns:7119370
    DOI: 10.1155/2022/7119370
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