摘要
利用矩阵的相似变换及约当分解给出一般形式的李雅普诺夫矩阵方程的一种分类方法 ,方程有解的充要条件及解的表达形式 。
In the present paper,the authors use matrix similarity transformation and Jordar decomposition to give a classification method of generic Lyapunov matrix equation,a necessary and sufficient condition of the equation having solution and a expressional formal of solutions.We also study the characteristic ascertainment method of solution.
出处
《东北电力学院学报》
2000年第1期53-55,共3页
Journal of Northeast China Institute of Electric Power Engineering
关键词
李雅普诺夫矩阵方程
相似变换
特征确定法
解
Lyapunov matrix equation
similarity transformation
Jordar decomposition
classification of equation
characteristic ascertainment method