Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems
Karl Kunisch, Gengsheng Wang, Huaiqiang Yu
TL;DR
This paper introduces a frequency-domain criterion for exponential stabilizability of infinite-dimensional linear control systems, establishing necessary and sufficient conditions for certain systems and necessary conditions generally.
Contribution
It presents a new frequency-domain condition that characterizes stabilizability in infinite-dimensional systems, with proofs of necessity and sufficiency for specific cases.
Findings
The criterion is necessary and sufficient for some systems.
It is a necessary condition for stabilizability in general.
Applications demonstrate the criterion's practical relevance.
Abstract
A quantitative frequency-domain condition related to the exponential stabilizability for infinite-dimensional linear control systems is presented. It is proven that this condition is necessary and sufficient for the stabilizability of special systems, while it is a necessary condition for the stabilizability in general. Applications are provided.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Mathematical Control Systems and Analysis