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一类具有时变时滞的神经网络的稳定性分析

Stability Analysis for a Class of Time-Varying-Delay Neural Neltwork System
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摘要 研究了一类具有时变时滞的神经网络的稳定性,首先将要研究的模型转化为数学系统模型,利用Lyapunov-Krasovskii稳定性理论和线性矩阵不等式技术(LMI方法),精炼和推广了一些已有的结果,所得结果为时变时滞神经网络提供了新的稳定性判定准则. The paper focuses on researching the stability of time-varying-delay neural network system.It transforms the research model into mathematical systemic model, and then, makes use of Lyapunov-Krasovskii and LMIs to simplify and extends some existing research achievement. The results can provide new stability criterions for the time-varying-delay neural network.
出处 《数学的实践与认识》 CSCD 北大核心 2014年第17期292-300,共9页 Mathematics in Practice and Theory
基金 四川省教育厅资助项目(132B0327)
关键词 时变时滞 神经网络 稳定性 LYAPUNOV-KRASOVSKII泛函 time-varying-delay neural network stability Lyapunov-Krasovskii functional
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参考文献16

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