LMI conditions for stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays

作者：Fu, Xilin^*; Li, Xiaodi

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(1): 435-454.

DOI：10.1016/j.cnsns.2010.03.003

• Impulsive stochastic Cohen-Grossberg
• neural networks
• Stability
• Lyapunov-Krasovskii functional
• Linear matrix inequality (LMI)
• Multiple time-varying delays
• Continuously distributed delays

In this paper, the global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays is investigated by using Lyapunov-Krasovskii functional method and the linear matrix inequality (LMI) technique. The mixed time delays comprise both the multiple time-varying and continuously distributed delays. Some new sufficient conditions are obtained to guarantee the global asymptotic stability of the addressed model in the stochastic sense using the powerful MATLAB LMI toolbox. The results extend and improve the earlier publications. Two numerical examples are given to illustrate the effectiveness of our results.

• 出版日期2011-1
• 单位厦门大学; 山东师范大学