On the small-time local controllability

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2022 Bulgaria English Publisher:Elsevier BVJournal:Systems & Control Letters, volume 177, page 105,535 (issn: 0167-6911,

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Authors: Krastanov, Mikhail; Nikolova, Margarita;

doi: 10.1016/j.sysconle.2023.105535 , 10.2139/ssrn.4293000

handle: 10525/5919

On the small-time local controllability

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Abstract

This work deals with the problem of small-time local controllability of a class of polynomial control systems. The local properties of the corresponding reachable sets are studied by using a general differential-geometrical approach based on the Campbell-Baker-Hausdorff (C-B-H) formula. As main result a new sufficient condition of small-time local controllability is established. Two four-dimensional examples are provided to illustrate the result.

Country

Bulgaria

Related Organizations

Bulgarian Academy of Sciences
Bulgaria
Sofia University
United States
Sofia University
Bulgaria
Institute of Mathematics and Informatics
Bulgaria

Keywords

Controllability, Polynomial control systems, Attainable sets, reachability, small-time local controllability, Applications of differential geometry to engineering, polynomial control systems, Small-time local controllability, Control/observation systems governed by ordinary differential equations

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