On the controllability of nonlinear systems with a periodic drift - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2024

On the controllability of nonlinear systems with a periodic drift

Abstract

Sufficient and necessary conditions are established for controllability of affine control systems, motivated by these with a drift all of whose solutions are periodic. In contrast with previously known results, these conditions encompass the case of a control set whose convex hull contains the origin but is not a neighborhood of the origin. The condition is expressed by means of pushforwards along the flow of the drift, rather than in terms of Lie brackets. It turns out that this also amounts to local controllability of a time-varying linear approximation with constrained controls. Global and local results are given, as well as a few illustrative examples.
Fichier principal
Vignette du fichier
art-HAL-arxiv-3mars.pdf (1.04 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03779482 , version 1 (16-09-2022)
hal-03779482 , version 2 (15-12-2022)
hal-03779482 , version 3 (07-03-2024)

Licence

Identifiers

Cite

Jean-Baptiste Caillau, Lamberto Dell'Elce, Alesia Herasimenka, Jean-Baptiste Pomet. On the controllability of nonlinear systems with a periodic drift. 2024. ⟨hal-03779482v3⟩
111 View
180 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More