On weak and strong reachability and controllability of infinite-dimensional linear systems
On weak and strong reachability and controllability of infinite-dimensional linear systems
复制标题
无限维线性系统的弱、强可达性和可控性
DOI：
10.1007/bf00932345
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发表时间：
1972
影响因子：
1.9
通讯作者：
P. Fuhrmann
中科院分区：
文献类型：
--
作者：
P. Fuhrmann
可达性和可控性的概念以两种不同的方式推广到无限维系统。我们证明了强概念等价于有限时间可达性和可控性。对于Hilbert空间中的离散系统，我们得到了推广Kalman条件的简单关系。在希尔伯特空间中的连续系统的情况下，弱可达性等价于通过凯莱变换的相关离散系统的弱可达性。
The notions of reachability and controllability generalize to infinite-dimensional systems in two different ways. We show that the strong notions are equivalent to finite-time reachability and controllability. For discrete systems in Hilbert space, we get simple relations generalizing the Kalman conditions. In the case of a continuous system in Hilbert space, weak reachability is equivalent to the weak reachability of a related discrete system via the Cayley transform.