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Link synchronization control of delayed stochastic complex networks with switching link dynamics

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  • Xie, Xiyuan
  • Wang, Yantao
  • Zhang, Xian

Abstract

This paper investigates the link synchronization problem in stochastic complex networks involving switching link dynamics and time delays. Nodes and switching links are modeled by two sets of stochastic functional differential equations, where stochastic factors are described by Brownian motion. Notably, numerous studies focus on node synchronization in such networks, while research on switched links is relatively insufficient. The control strategy proposed in this work comprises two key components: the first involves the design of node-based controllers, and the second focuses on exploring the function-switching link dynamics through the system solution-based method. Theoretical analysis is conducted under the association of system solution-based direct approach and the minimum residence time approach. This work formally defines link synchronization in the mean-square sense, and achieves this synchronization goal by designing an appropriate control scheme. Finally, the effectiveness of the proposed control strategy is verified by numerical simulation examples. Different from traditional Lyapunov-based methods, this method does not require the construction of any Lyapunov functional, ensuring a concise proof process and low computational complexity.

Suggested Citation

  • Xie, Xiyuan & Wang, Yantao & Zhang, Xian, 2026. "Link synchronization control of delayed stochastic complex networks with switching link dynamics," Applied Mathematics and Computation, Elsevier, vol. 530(C).
    • Handle: RePEc:eee:apmaco:v:530:y:2026:i:c:s0096300326001827
    DOI: 10.1016/j.amc.2026.130130
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