带有矩阵不等式约束的Lyapunov方程的性质  

Properties of a Type of Lyapunov Equation with Matrices Inequalities Restriction

作　　者：李阳春[1] 许晓鸣[1] 

机构地区：[1]上海交通大学自动化研究所

出　　处：《上海交通大学学报》1999年第4期504-508,共5页Journal of Shanghai Jiaotong University

摘　　要：一类带有矩阵不等式约束的Ｌｙａｐｕｎｏｖ方程在确定控制系统的反馈增益阵时扮演着关键的角色．A type of Lyapunov equation with matrices inequalities restriction was discussed. First, some properties of parameters r, q, δ which satisfy these restricted equation by using the property of matrix trace were got. Then, using the properties of matrix eigenvalue, the similar properties were discussed.

关 键 词：李雅普诺夫方程 矩阵不等式 控制系统 稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]