Lie Geometric Methods in the Study of Driftless Control Affine Systems with Holonomic Distribution and Economic Applications

Autor: Liviu Popescu, Daniel Militaru, Gabriel Tică
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 4, p 545 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10040545
Popis: In the present paper, two optimal control problems are studied using Lie geometric methods and applying the Pontryagin Maximum Principle at the level of a new working space, called Lie algebroid. It is proved that the framework of a Lie algebroid is more suitable than the cotangent bundle in order to find the optimal solutions of some driftless control affine systems with holonomic distributions. Finally, an economic application is given.
Databáze: Directory of Open Access Journals
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