Work

Achieving exponential synchronization in nonlinear stochastic complex networks with time-varying delays: A pinning impulsive control strategy

Year: 2026

Type: article

Abstract: This study investigates exponential synchronization for complex networks with nonlinear coupling structures, stochastic perturbations, and hybrid time-varying delays. The proposed model integrates both internal and coupling-induced time-varying delays. A pinning impulsive control strategy is developed to synchronize the network, which only requires partial node intervention. Based on stochastic analysis and Lyapunov stability theory, we rigorously derive sufficient conditions for exponential convergence. The results reveal that synchronizing the entire network requires only limited impulsive control inputs, significantly reducing control costs. Finally, two numerical examples validate the theoretical framework and demonstrate its practical effectiveness.

Source: Franklin Open

DOI: 10.1016/j.fraope.2026.100487

Authors: Li Li, Shunqin Liu, Xiuliang Qiu, Wenshui Lin

Institutions: Chengyi College, Jimei University, Xiamen University Tan Kah Kee College, Xiamen University

Language: English

Topic: Neural Networks Stability and Synchronization

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

Funder: National Natural Science Foundation of China