延迟拉格朗日神经网络求解凸规划问题的改进结果

Proceedings of 2011 International Conference on Modelling, Identification and Control Pub Date : 2011-06-26 DOI:10.1109/ICMIC.2011.5973710

Bonan Huang, Yanhong Luo, Dawei Gong, Huaguang Zhang

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摘要

研究了用于求解具有线性等式约束的非线性规划问题的时滞拉格朗日神经网络的稳定性分析问题。通过构造一个新的Lyapnuov-Krasovskii泛函，采用自由加权矩阵方法，建立了一个基于线性矩阵不等式(lmi)的较保守的时滞相关稳定性判据。最后，通过一个算例说明了所提方法的有效性。

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Improved results on solving convex programming problems with delayed Lagrangian neural networks

This paper is concerned with the stability analysis problem of a delayed Lagrangian neural network designed for solving nonlinear programming problems with linear equality constraints. By constructing a new Lyapnuov-Krasovskii functional and employing the free-weighting matrix method, a less conservative delay-dependent stability criterion is established in terms of linear matrix inequalities (LMIs). Finally, an example is given to illustrate the effectiveness of our proposed method.

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Proceedings of 2011 International Conference on Modelling, Identification and Control

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