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Exponential stability of stochastic complex networks with multi-weights based on graph theory

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  • Zhang, Chunmei
  • Chen, Tianrui

Abstract

In this paper, a novel approach to exponential stability of stochastic complex networks with multi-weights is investigated by means of the graph-theoretical method. New sufficient conditions are provided to ascertain the moment exponential stability and almost surely exponential stability of stochastic complex networks with multiple weights. It is noted that our stability results are closely related with multi-weights and the intensity of stochastic disturbance. Numerical simulations are also presented to substantiate the theoretical results.

Suggested Citation

  • Zhang, Chunmei & Chen, Tianrui, 2018. "Exponential stability of stochastic complex networks with multi-weights based on graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 602-611.
    • Handle: RePEc:eee:phsmap:v:496:y:2018:i:c:p:602-611
    DOI: 10.1016/j.physa.2017.12.132
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    References listed on IDEAS

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    Cited by:

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    6. Liu, Yan & Zhang, Di & Su, Huan & Feng, Jiqiang, 2019. "Stationary distribution for stochastic coupled systems with regime switching and feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).

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