Global Asymptotical Stability of Delayed Impulsive Neural Networks without Lipschitz Neuron Activations

Authors

  • Ailong Wu
  • Jine Zhang
  • Chaojin Fu

Keywords:

Neural networks, Global asymptotical stability, Impulses

Abstract

In this paper, based on the homeomorphism theory and Lyapunov functional method, we investigate global asymptotical stability for a novel class of delayed impulsive neural networks without Lipschitz neuron activations. Some sufficient conditions are derived which ensure the existence, uniqueness, and global asymptotical stability of the equilibrium point of neural networks. Finally, a numerical example is given to demonstrate the improvements of the paper.

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Published

2010-12-11

How to Cite

Wu, A., Zhang, J., & Fu, C. (2010). Global Asymptotical Stability of Delayed Impulsive Neural Networks without Lipschitz Neuron Activations. European Journal of Pure and Applied Mathematics, 3(5), 806–818. Retrieved from https://www.ejpam.com/index.php/ejpam/article/view/454

Issue

Vol. 3 No. 5: (October 2010)

Section

Nonlinear Analysis

License

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European Journal of Pure and Applied Mathematics will be Copyright Holder.