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Finite-time synchronization and topology identification of stochastic multi-layer networks with Markovian switching

Author

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  • Li, Ran
  • Zhang, Chunmei
  • Yang, Hui
  • Chen, Huiling

Abstract

The finite-time synchronization and topology identification problems of stochastic multi-layer networks with Markovian switching are investigated in this paper. Compared with previous studies, Markovian switching is considered in stochastic multi-layer networks. First, by using Kirchhoff’s matrix tree theorem in graph theory, the Lyapunov function of the coupling system is constructed indirectly from the Lyapunov function of the vertex system. In view of finite-time stability theory and stochastic analysis technique, some finite-time synchronization criteria of stochastic multi-layer networks are proposed. Moreover, the intra-layer and inter-layer topological structures are successfully identified in finite time. Then, using the pinning control technique, the unknown partial topological structures are also identified in finite time. In the end, two examples for whole and partial topology identification of two-layer small-world networks are given.

Suggested Citation

  • Li, Ran & Zhang, Chunmei & Yang, Hui & Chen, Huiling, 2024. "Finite-time synchronization and topology identification of stochastic multi-layer networks with Markovian switching," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 80-96.
    • Handle: RePEc:eee:matcom:v:217:y:2024:i:c:p:80-96
    DOI: 10.1016/j.matcom.2023.10.018
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    References listed on IDEAS

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    1. An, Xin-lei & Zhang, Li & Li, Yin-zhen & Zhang, Jian-gang, 2014. "Synchronization analysis of complex networks with multi-weights and its application in public traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 149-156.
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