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Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory

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  • Zhang, Chunmei
  • Han, Bang-Sheng

Abstract

In this paper, a novel kind of stochastic delayed complex networks with multi-weights (SDCNMW) is considered. We first split SDCNMW into multiple stochastic complex networks with single weight. This paper is mainly concerned with the issues of exponential stability for SDCNMW. A global Lyapunov functional is constructed by a graph-theoretical approach based on Kirchhoff’s matrix tree theorem. Razumikhin-type theorem is presented by stochastic stability theory and Razumikhin technique. An easy-verified coefficients-type theorem is also given. Finally, theoretical results are illustrated by stochastic oscillators network successfully.

Suggested Citation

  • Zhang, Chunmei & Han, Bang-Sheng, 2020. "Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    • Handle: RePEc:eee:phsmap:v:538:y:2020:i:c:s0378437119316073
    DOI: 10.1016/j.physa.2019.122827
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    Cited by:

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