Stability analysis of Markovian jumping stochastic Cohen Grossberg neural networks with discrete and distributed time varying delays

作者：Ali M Syed^*

来源：Chinese Physics B, 2014, 23(6): 060702.

DOI：10.1088/1674-1056/23/6/060702

• Cohen-Grossberg neural networks
• global asymptotic stability
• linear matrix inequality
• Lyapunov functional
• time-varying delays

In this paper, the global asymptotic stability problem of Markovian jumping stochastic Cohen-Grossberg neural networks with discrete and distributed time-varying delays (MJSCGNNs) is considered. A novel LMI-based stability criterion is obtained by constructing a new Lyapunov functional to guarantee the asymptotic stability of MJSCGNNs. Our results can be easily verified and they are also less restrictive than previously known criteria and can be applied to Cohen-Grossberg neural networks, recurrent neural networks, and cellular neural networks. Finally, the proposed stability conditions are demonstrated with numerical examples.

• 出版日期2014-6