Year: 2024
Type: conference-paper
Abstract: We show that for piecewise affine controlled systems, the bang-bang principle does not hold even when the dynamics is continuous with respect to the state variable. However, we show that there exist minimal time trajectories with extreme controls at the loci where the dynamics is differentiable. We give two examples which exhibit singular arcs exactly at the loci of non-differentiability.
Authors: Ruben Chenevat, Bruno Cheviron, Sébastien Roux, Alain Rapaport
Institutions: Université de Montpellier, Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement, Mathématiques, Informatique et Statistique pour l'Environnement et l'Agronomie, Centre de Coopération Internationale en Recherche Agronomique pour le Développement, Gestion de l'Eau, Acteurs, Usages, Institut de Recherche pour le Développement
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funders: Agence Nationale de la Recherche, Labex
OpenAlex ID: W4401159793