线性矩阵不等式及其在细胞神经网络保性能控制中的应用

LMI and Application in Guaranteed Cost Control Problem of Cellular Neural Networks

线性矩阵不等式的优良性质可用于解决细胞神经网络中的保性能控制问题.本文介绍了线性矩阵不等式的相关概念和性质;通过对Schur补引理的改进提出了一个引理,从而更容易将二次矩阵不等式转化为线性矩阵不等式,更好地应用于控制参数求解;提出了LMI的基本问题和MATLAB工具箱,并对LMI在细胞神经网络的保性能控制问题作出了简要描述.

Fine properties of Linear matrix inequality can be used to solve guaranteed cost control problem of Cellular Neural Networks（CNNs）. This paper introduces related concepts and property of Linear matrix inequality, proposes a deduction via improving Schur complements to transform a class of quadratic matrix inequality （QMI） to linear matrix inequality （LMI） and applied to solve control parameter problems, Basic problems of LMI, MATLAB tool bar and brief description of guaranteed cost control problem of Cellular Neural Networks with LMI are presented in the paper.