论文标题
具有离散观察模式的线性系统的稳定性
Stabilizability of linear systems with discrete observation mode
论文作者
论文摘要
对于线性控制系统，通常的状态反馈稳定性具有两个组成部分：一个是连续的观察模式（即，可以及时连续观察解决方案），另一个是一类反馈定律（通常是从状态空间到控制空间的所有线性和有限运算符的空间）。本文通过离散观察模式（即，及时观察解决方案）和两种不同类别的反馈定律研究了抽象线性控制系统的稳定性。 我们首先通过对双重系统的一些弱可观察性不平等来表征这些类型的稳定性。然后，我们使用这些特征来揭示 这些类型的稳定性和具有连续观察模式的稳定性。最后，我们展示了上述弱观察性不平等的某些应用。
For linear control systems, the usual state feedback stabilizability has two components: one is a continuous observation mode (i.e., to observe solutions continuously in time), and the other is a class of feedback laws (which is usually the space of all of the linear and bounded operators from a state space to a control space). This paper studies the stabilizability for abstract linear control systems, with a discrete observation mode (i.e., to observe solutions discretely in time) and two different classes of feedback laws. We first characterize these types of stabilizabilities via some weak observability inequalities for the dual systems. Then, we use these characterizations to reveal the connections between these types of stabilizabilities and those with continuous observation mode. Finally, we show some applications of the aforementioned weak observability inequalities.
