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Fixed-Time Synchronization for Hybrid Coupled Dynamical Networks with Multilinks and Time-Varying Delays

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  • Baolin Qiu
  • Lixiang Li
  • Haipeng Peng
  • Yixian Yang

Abstract

This paper concerns the problem of fixed/finite-time synchronization of hybrid coupled dynamical networks. The considered dynamical networks with multilinks contain only one transmittal time-varying delay for each subnetwork, which makes us get hold of more interesting and practical points. Two kinds of delay-dependent feedback controllers with multilinks as well as appropriate Lyapunov functions are defined to achieve the goal of fixed-time synchronization and finite-time synchronization for the networks. Some novel and effective criteria of hybrid coupled networks are derived based on fixed-time and finite-time stability analysis. Finally, two numerical simulation examples are given to show the effectiveness of the results proposed in our paper.

Suggested Citation

  • Baolin Qiu & Lixiang Li & Haipeng Peng & Yixian Yang, 2017. "Fixed-Time Synchronization for Hybrid Coupled Dynamical Networks with Multilinks and Time-Varying Delays," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-14, January.
    • Handle: RePEc:hin:jnlmpe:8435349
    DOI: 10.1155/2017/8435349
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