Robust stability of stochastic neural networks of neutral type with time-varying delays

Yangzheng Zeng, Lilan Tu, Guojun Liu
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Abstract

This paper focuses on the global delay-dependent robust asymptotic stability of stochastic neural networks of neutral type with time-varying delays. The delay functions of networks under consideration are bounded but not necessarily differentiable. Based on the stochastic Lyapunov stability theory, itÔ's differential rule and linear matrix inequality (LMI) optimization technique, a delay-dependent asymptotic stability criterion is derived. Finally, an illustrative example is given to show the effectiveness and feasibility of the proposed method.
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具有时变时滞的中性型随机神经网络的鲁棒稳定性
研究了具有时变时滞的中立型随机神经网络的全局时滞相关鲁棒渐近稳定性问题。所考虑的网络的延迟函数是有界的,但不一定是可微的。基于随机Lyapunov稳定性理论、itÔ微分规则和线性矩阵不等式(LMI)优化技术,导出了时滞相关的渐近稳定性判据。最后,通过一个算例验证了所提方法的有效性和可行性。
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