Graph Theory-Based Approach for Stability Analysis of Stochastic Coupled Systems With Lévy Noise on Networks

2015 ◽  
Vol 26 (8) ◽  
pp. 1698-1709 ◽  
Author(s):  
Chunmei Zhang ◽  
Wenxue Li ◽  
Ke Wang
Keyword(s):  
Graph Theory ◽  
Stability Analysis ◽  
Coupled Systems ◽  
Lévy Noise ◽  
Levy Noise

Stability of stochastic Lévy noise coupled systems with mixed delays

2020 ◽  
pp. 1-15 ◽  
Author(s):  
Hui Zhou ◽  
Qiguang Jiang ◽  
Wenxue Li ◽  
Jiqiang Feng
Keyword(s):  
Coupled Systems ◽  
Lévy Noise ◽  
Mixed Delays ◽  
Levy Noise

scholarly journals Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Wenxue Li ◽  
Tianrui Chen ◽  
Ke Wang
Keyword(s):  
Graph Theory ◽  
Stability Analysis ◽  
Lyapunov Function ◽  
Exponential Stability ◽  
Lyapunov Method ◽  
Reaction Diffusion ◽  
Coupled Systems ◽  
Mixed Delays ◽  
Systematic Method ◽  
The Stability

This paper is concerned with the stability analysis issue for coupled systems on networks with mixed delays and reaction-diffusion terms (CSNMRs). By employing Lyapunov method and Kirchhoff's Theorem in graph theory, a systematic method is proposed to guarantee exponential stability of CSNMRs. Two different kinds of sufficient criteria are derived in the form of Lyapunov function and coefficients of the system, respectively. Finally, a numerical example is given to show the effectiveness of the proposed criteria.

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