期刊文献+

基于线性矩阵不等式的广义神经网络系统的全局指数稳定性分析

LMI-Based Approach for Globally Exponentially Stability Analysis of Generalized Delayed Neural Network
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摘要 本文通过构造Lyapunov-Krasovskii泛函并利用线性矩阵不等式的方法将系统的稳定性问题转化为凸优化问题,建立了系统指数稳定的充分条件.该充分条件可利用标准的Matlab LMI工具箱来验证和求解. The paper is devoted to the stability analysis of generalized delayed neural network with mixed discrete and distributed delays. By employing the Lyapunov-Krasovskii functional, the addressed stability analysis problem is converted into a convex optimization problem, and a linear matrix inequality approach is utilized to establish the sufficient condition for the globally exponentially stability. This condition can be readily checked by utilizing the Matlab LMI Toolbox.
作者 蒋国民
出处 《运筹学学报》 CSCD 北大核心 2007年第4期93-101,共9页 Operations Research Transactions
基金 国家自然科学基金资助项目(10171088).
关键词 运筹学 神经网络 线性矩阵不等式 稳定性 Operations research, neural network, linear matrix inequality, stability
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参考文献21

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二级参考文献19

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  • 4Liao X. F. , Chen G. and Sanchez E. N. (2002). LMI - based approach for asymptotically stability analysis of delayed neural networks.IEEE Transactions on Circuits Systems - I,49, 1033 - 1039. 被引量:1
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