带马尔可夫跳的时滞随机递归神经网络的以分布渐近稳定性被引量：1

Asymptotic Stability in Distribution of Stochastic Recurrent Neural Networks with Time Delays and Markovian Swithching

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摘要研究了带马尔可夫跳的时滞随机递归神经网络的以分布渐近稳定性问题通过构造合适的Lyapunov泛函，得到了判定带马尔可夫跳的时滞随机递归神经网络的以分布渐近稳定的充分条件．并举例说明结论的有效性． This paper investigated the asymptotic stability in distribution of stochastic recurrent neural networks with time delays and Markovian switching. By constructing Lyapunov functional, some sufficient conditions for the asymptotic stability in distribution of stochastic recurrent neural networks with time delays and Markovian switching are obtained. Finally, an illustrative example is given to show the effectiveness of the obtained results.

作者周瑞周立群赵山崎 ZHOU Rui, ZHOU Li-qun, ZHAO Shan-qi(College of Mathematical Science, Tianjin Normal University, Tianjin 300387, Chin)

机构地区天津师范大学数学科学学院

出处《数学的实践与认识》北大核心 2018年第6期204-210,共7页 Mathematics in Practice and Theory

基金国家自然科学基金(61374009) 天津市中青年骨干教师培养计划项目(043-135205GC38)

关键词时滞随机递归神经网络马尔可夫跳分布渐近稳定 LYAPUNOV泛函 delayed stochastic recurrent neural networks markovian switching asymptotic stability in distribution lyapunov functional

分类号 O211.62 [理学—概率论与数理统计] TP183 [自动化与计算机技术—控制理论与控制工程]

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1赵雁.带马尔可夫跳的随机Hopfield神经网络的以分布渐近稳定性[J].数学的实践与认识,2013,43(5):234-239. 被引量：3

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