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Finite/Fixed-Time Homogeneous Stabilization of Infinite Dimensional Systems

Finite/fixed-time homogeneous stabilization of infinite dimensional systems
descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2025Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Automatic Control, volume 70, pages 2,560-2,567 (issn: 0018-9286, eissn: 2334-3303, Copyright policy )Funded by:ANR | SLIMDISC
Authors: Andrey Polyakov; Yury Orlov;

doi: 10.1109/tac.2024.3490989

Finite/Fixed-Time Homogeneous Stabilization of Infinite Dimensional Systems

Abstract

Finite/fixed-time control design procedure is developed for an infinite dimensional system modeled by abstract evolution equation in a Hilbert space. It is based on solving certain operator equations and inequalities. For a class of PDE models, the corresponding equations/inequalities are shown to be algebraic and solvable in many cases. Theoretical results are supported by examples of controlled PDE models.

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Keywords

Systems theory; control, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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