Exponential stability of impulsive high-order Hopfield-type neural networks with delays and reaction–diffusion

Abstract

The problem of global exponential stability analysis of Impulsive high-order Hopfield-type neural networks with time-varying delays and reaction–diffusion terms has been investigated in this paper. Using the Lyapunov function method and M-matrix theory, we establish the global exponential stability of the neural networks with its estimated exponential convergence rate. As an illustration, a numerical example is given using the results.

Keywords:

• high-order Hopfield-type neural networks
• exponential stability
• impulse
• delay
• reaction–diffusion

2010 AMS Subject Classification :

• 37B25

Acknowledgements

This work was partially supported by the Fundamental Research Funds for the Central Universities of China (Project Nos. CDJXS10 18 00 16, CDJZR10 18 55 01) and the National Natural Science Foundation of China (Grant No. 60974020).