摘要
讨论Hilbert空间上两个二阶线性系统的稳定性和能控性,在较一般的假设下,得到了这两个系统的指数稳定性和精确能控性,渐近稳定性和近似能控性之间的关系.最后,给出线性系统渐近稳定的一个充分必要条件.
The stability and controllability for two second order systems are considered. Under some general assumptions, the useful relation between exponential stability and exact controllability and the relation between approximate controllability of the two second order systems are obtained. Finally, a sufficient and necessary condition for a linear system to be asymptotic stable is given.
出处
《自动化学报》
EI
CSCD
北大核心
1997年第5期673-677,共5页
Acta Automatica Sinica
基金
国家自然科学基金
山西省青年科学基金
山西省自然科学基金
关键词
稳定性
能控性
分布参数系统
线性系统
Asymptotic stability, exponential stability, approximate controllability, exact controllability.