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Finite-Time Synchronization of Complex Multilinks Networks with Perturbations and Time-Varying Delay Based on Nonlinear Adaptive Controller

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  • Lixiang Li
  • Qingbiao Liu
  • Tao Li

Abstract

This paper utilizes nonlinear adaptive feedback controller to make the complex multilinks networks with perturbations and time-varying delays achieve the finite-time synchronization. By designing nonlinear controllers, we use suitable Lyapunov functions and sufficient conditions to guarantee the finite-time synchronization between the drive system and the response system in terms of adaptive control. Several novel and useful finite-time synchronization criteria are accurately derived based on linear matrix inequality, Kronecker product, inequality analytical technique, and finite-time stability theory. Finally, numerical examples are given to demonstrate the validity and the effectiveness of our theoretical results.

Suggested Citation

  • Lixiang Li & Qingbiao Liu & Tao Li, 2019. "Finite-Time Synchronization of Complex Multilinks Networks with Perturbations and Time-Varying Delay Based on Nonlinear Adaptive Controller," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-12, April.
    • Handle: RePEc:hin:jnlmpe:7656820
    DOI: 10.1155/2019/7656820
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