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P th Moment Exponential Stability of Impulsive Stochastic Neural Networks with Mixed Delays

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  • Xiaoai Li
  • Jiezhong Zou
  • Enwen Zhu

Abstract

This paper investigates the problem of p th moment exponential stability for a class of stochastic neural networks with time-varying delays and distributed delays under nonlinear impulsive perturbations. By means of Lyapunov functionals, stochastic analysis and differential inequality technique, criteria on p th moment exponential stability of this model are derived. The results of this paper are completely new and complement and improve some of the previously known results (Stamova and Ilarionov (2010), Zhang et al. (2005), Li (2010), Ahmed and Stamova (2008), Huang et al. (2008), Huang et al. (2008), and Stamova (2009)). An example is employed to illustrate our feasible results.

Suggested Citation

  • Xiaoai Li & Jiezhong Zou & Enwen Zhu, 2012. "P th Moment Exponential Stability of Impulsive Stochastic Neural Networks with Mixed Delays," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-20, December.
    • Handle: RePEc:hin:jnlmpe:175934
    DOI: 10.1155/2012/175934
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