基于MATLAB的一类线性矩阵不等式正定解的通用算法分析  

A general algorithm analysis for linear matrix inequality definite solutions based on the MATLAB

作　　者：薛亚宏[1] 

机构地区：[1]甘肃工业职业技术学院,甘肃天水741025

出　　处：《黄冈师范学院学报》2012年第3期24-27,共4页Journal of Huanggang Normal University

摘　　要：本文就控制理论中广泛应用的一类线性矩阵不等式的正定可行解问题进行了理论和算法上的研究。首先对一般线性矩阵不等式进行理论描述,进一步探讨了Lyapunov不等式稳定性的判定及其转换算法,建立了基于MATLAB的线性矩阵不等式可行解问题的模型,最后归纳出Riccati不等式正定可行解的通用算法,并进行了实变量运算。A class of linear matrix inequality positive definite feasible solutions in theory control is studied. First of all, a general linear matrix inequali.ty is described theoretically. Then the stability and transformation algorithm of Lyapunov inequality is inves- tigated. A model for feasible solutions on the linear matrix inequality is established. Fina!ly a general algorithm model of Riccati inequality feasible solutions is obtained and variable calculation is practically performed.

关 键 词：线性矩阵不等式 RICCATI不等式 正定可行解 MATLAB 算法 

分 类 号：G71[文化科学—职业技术教育学]