Stabilizability with bounded feedback for analytic linear control systems
Yaxing Ma, Emmanuel Tr\'elat, Lijuan Wang, Huaiqiang Yu
TL;DR
This paper establishes conditions for stabilizing analytic linear control systems using bounded feedback, extending previous results and providing multiple characterizations with illustrative examples.
Contribution
It offers new sufficient conditions and characterizations for stabilizability with bounded feedback in analytic linear control systems, expanding on earlier research.
Findings
Provided new sufficient conditions for stabilizability
Extended existing characterizations of stabilizability
Included illustrative examples demonstrating the results
Abstract
In this paper, we give sufficient conditions under which linear abstract control systems for which the semigroup is analytic are stabilizable with a bounded feedback. We obtain various characterizations of that property, which extend some earlier works. We illustrate our findings with several examples.
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Taxonomy
TopicsStability and Control of Uncertain Systems · Stability and Controllability of Differential Equations · Nonlinear Differential Equations Analysis