摘要
本文提出了广义正定矩阵的概念;讨论了广义正定矩阵的性质;给出了利用矩阵广义正定性表达的线性系统稳定性的充分条件,并利用所得条件考虑了二阶微分系统的稳定性问题,推广了[3—5]中的结果。
In this paper, concept of generalized positive definite matrix isproposed, properties of positive definite matrix are discussed. Some sufficient conditions, in terms of positive definite matrix, for stability of linear systems are given. Based on the obtained stability results, stability of second order differential systems is considered, the result proposed by [3-5] is generalized.
出处
《力学学报》
EI
CSCD
北大核心
1989年第6期754-757,共4页
Chinese Journal of Theoretical and Applied Mechanics
关键词
广义
正定矩阵
稳定性
线性系统
generalized positive definite matrix, linear system, stability, second order differential system.
