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

Ran Li, Chunmei Zhang, Hui Yang and Huiling Chen

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 217, issue C, 80-96

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.

Keywords: Finite-time stability theory; Stochastic multi-layer networks; Graph-theoretic method; Topology identification (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:217:y:2024:i:c:p:80-96

DOI: 10.1016/j.matcom.2023.10.018

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