Attainable set for rank 3 step 2 free Carnot group with positive controls

We find the attainable set for a control system on the free Carnot group of rank \(3\) and step \(2\) with positive controls. This kind of control systems is connected with the theory of free Lie semigroups; with some estimates for probabilities of inequalities for independent random variables; with...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2022-03
1. Verfasser:	Podobryaev, A V
Format:	Artikel
Sprache:	eng
Schlagworte:	Control systems Image processing Independent variables Lie groups Mathematics - Group Theory Mathematics - Optimization and Control Mathematics - Probability Maximum principle Parameterization Random variables Robot control Time optimal control Upper bounds
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!