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

Abstract EN

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 kindsof 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.