郭良栋,庞豹,何希勤,贺建军.一类具有混合时滞的神经网络指数稳定性分析[J].,2014,54(2):251-256 |
一类具有混合时滞的神经网络指数稳定性分析 |
Exponential stability analysis for a class of neural networks with mixed delays |
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DOI:10.7511/dllgxb201402016 |
中文关键词: 混合时滞 指数稳定 倒数凸方法 线性矩阵不等式 |
英文关键词: mixed delay exponential stability reciprocal convex approach linear matrix inequality (LMI) |
基金项目:国家自然科学基金资助项目(61174215,61273011);辽宁科技大学优秀科技人才培养基金资助项目(2013RC07). |
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中文摘要: |
讨论了一类具有混合时滞(包含离散和分布时滞)的人工神经网络的指数稳定性问题.通过将时滞区间分为不等的两部分,并结合倒数凸方法,得到了系统指数稳定的新判据,判据以线性矩阵不等式的形式给出.最后用两个数值实例说明了所得结论的有效性与更小的保守性. |
英文摘要: |
The problem of exponential stability analysis for artificial neural networks with mixed delays (including discrete and distributed time-varying delays) is discussed. By dividing the delay interval into two unequal subintervals and using the reciprocal convex approach, an improved delay-dependent exponential-stability criterion is derived in terms of the linear matrix inequalities (LMIs). Finally, numerical examples illustrate the effectiveness and less conservatism of the obtained conditions. |
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