Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint

Autor: Aronna, Maria, Bonnans, Joseph Frédéric, Goh, Bean San
Přispěvatelé: Fundacao Getulio Vargas [Rio de Janeiro] (FGV), Dynamical Interconnected Systems in COmplex Environments (DISCO), Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Curtin University [Perth], Planning and Transport Research Centre (PATREC)
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics, 2023, ⟨10.1007/s40314-023-02346-2⟩
ISSN: 0377-0427
DOI: 10.1007/s40314-023-02346-2⟩
Popis: International audience; We deal with a control-affine problem with scalar control subject to bounds, a scalar state con- straint and endpoint constraints of equality type. For the numerical solution of this problem, we propose a shooting algorithm and provide a sufficient condition for its local convergence. We exhibit an example that illustrates the theory.
Databáze: OpenAIRE
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