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Journal of Applied Mathematics
Volume 2012, Article ID 693163, 12 pages
http://dx.doi.org/10.1155/2012/693163
Research Article

Exponential Stability for a Class of Stochastic Reaction-Diffusion Hopfield Neural Networks with Delays

1College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China
2Department of Mathematics, Ocean University of China, Qingdao 266100, China

Received 7 August 2011; Accepted 28 November 2011

Academic Editor: Jitao Sun

Copyright © 2012 Xiao Liang and Linshan Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [9 citations]

The following is the list of published articles that have cited the current article.

  • Li Jie, Yang Pinghua, and Yang Si, “Adaptive Sychronization between Two Different Chaotic Neural Networks with Mixed Time-varying Delays,” 2011 First International Conference on Instrumentation, Measurement, Computer, Communication and Control, pp. 785–788, . View at Publisher · View at Google Scholar
  • Xiongrui Wang, Ruofeng Rao, and Shouming Zhong, “LMI Approach to Stability Analysis of Cohen-Grossberg Neural Networks with -Laplace Diffusion,” Journal of Applied Mathematics, vol. 2012, pp. 1–12, 2012. View at Publisher · View at Google Scholar
  • Ruofeng Rao, Xiongrui Wang, Shouming Zhong, and Zhilin Pu, “LMI Approach to Exponential Stability and Almost Sure Exponential Stability for Stochastic Fuzzy Markovian-Jumping Cohen-Grossberg Neural Networks with Nonlinear -Laplace Diffusion,” Journal of Applied Mathematics, vol. 2013, pp. 1–21, 2013. View at Publisher · View at Google Scholar
  • Ruofeng Rao, Zhilin Pu, Shouming Zhong, and Jialin Huang, “On the Role of Diffusion Behaviors in Stability Criterion for p-Laplace Dynamical Equations with Infinite Delay and Partial Fuzzy Parameters under Dirichlet Boundary Value,” Journal of Applied Mathematics, 2013. View at Publisher · View at Google Scholar
  • Ruofeng Rao, Shouming Zhong, and Xiongrui Wang, “Delay-dependent exponential stability for Markovian jumping stochastic Cohen-Grossberg neural networks with p-Laplace diffusion and partially known transition rates via a differential inequality,” Advances in Difference Equations, vol. 2013, no. 1, pp. 183, 2013. View at Publisher · View at Google Scholar
  • Ruofeng Rao, “Delay-Dependent Exponential Stability for Nonlinear Reaction-Diffusion Uncertain Cohen-Grossberg Neural Networks with Partially Known Transition Rates via Hardy-Poincare Inequality,” Chinese Annals of Mathematics Series B, vol. 35, no. 4, pp. 575–598, 2014. View at Publisher · View at Google Scholar
  • Chunge Lu, and Linshan Wang, “Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Xiao Liang, Linshan Wang, Yangfan Wang, and Ruili Wang, “Dynamical Behavior of Delayed Reaction–Diffusion Hopfield Neural Networks Driven by Infinite Dimensional Wiener Processes,” IEEE Transactions on Neural Networks and Learning Systems, vol. 27, no. 9, pp. 1816–1826, 2016. View at Publisher · View at Google Scholar
  • Qi Yao, Linshan Wang, and Yangfan Wang, “Existence-uniqueness and stability of reaction-diffusion stochastic Hopfield neural networks with S-type distributed time delays,” Neurocomputing, 2017. View at Publisher · View at Google Scholar