Delay-dependent robust stability for Hopfield neural networks of neutral-type

作者：Zhu Jin; Zhang Qingling^*; Yang Chunyu

来源：Neurocomputing, 2009, 72(10-12): 2609-2617.

DOI：10.1016/j.neucom.2008.10.008

• Delayed Hopfield neural networks
• Delay-dependent
• Asymptotic stability
• Robust stability

In this paper, the problem of delay-dependent robust stability for Hopfield neural networks of neutral-type is investigated. The neural networks system considered is different from the others, which has time-varying delays in neutral and discrete terms. A new class of Lyapunov-Krasovskii functional combines with the descriptor model transformation to ensure a large upper bound for time delay. The delay-dependent robust stability criterion is formulated in terms of linear matrix inequalities, in which the restriction of the derivative of time-varying delay in discrete terms is removed. Since both the neutral-delays and discrete-delays are taken into account, so the obtained criterion is more general than some existing ones. Numerical examples are given to illustrate the effectiveness of the proposed methods.

• 出版日期2009-6
• 单位东北大学