| 基于Markovian切换的时滞回归神经网络Lagrange全局均方指数稳定 |
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| 引用本文： | 陈求新,时正华.基于Markovian切换的时滞回归神经网络Lagrange全局均方指数稳定[J].南京气象学院学报,2016,8(5):433-438. |
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| 作者姓名： | 陈求新 时正华 |
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| 作者单位： | 河海大学 理学院, 南京, 211100;河海大学 理学院, 南京, 211100 |
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| 基金项目： | 中央高校基本科研业务费青年教师科研创新能力培育项目（2015B19814） |
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| 摘 要： | 对一类激励函数是Lurie型（包括有界和无界激励函数）的具有Markovian切换的时滞回归神经网络的Lagrange全局均方指数稳定性进行了研究，得到了回归神经网络在Markovian切换状态下的Lagrange全局均方指数稳定的充分判据，并通过数值例子验证了所得结论的正确性和有效性.
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| 关 键 词： | Markovian切换 时滞回归神经网络 均方指数稳定 Lagrange一致稳定 全局指数吸引 |
| 收稿时间： | 2016/1/14 0:00:00 |
Mean-square global exponential stability in Lagrange sense for delayed recurrent neural networks with Markovian switching |
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| CHEN Qiuxin and SHI Zhenghua.Mean-square global exponential stability in Lagrange sense for delayed recurrent neural networks with Markovian switching[J].Journal of Nanjing Institute of Meteorology,2016,8(5):433-438. |
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| Authors: | CHEN Qiuxin and SHI Zhenghua |
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| Institution: | College of Science, Hohai University, Nanjing 211100;College of Science, Hohai University, Nanjing 211100 |
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| Abstract: | In this paper,the mean-square global exponential stability in Lagrange sense for delayed recurrent neural networks with Markovian switching is studied.We consider the Lurie-type activation functions,which include both bounded and unbounded activation functions.A sufficiency criterion for mean-square exponential stability of recurrent neural networks with Markovian switching is obtained.Finally,a numerical simulation example is provided to examine the correctness and effectiveness of our result. |
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| Keywords: | Markovian switching delayed recurrent neural networks mean-square exponentially stable Lagrange stability global exponential attractive |
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