On the Ball-Marsden-Slemrod obstruction for bilinear control systems

Nabile Boussaid (1) , Marco Caponigro (2) , Thomas Chambrion (3, 4)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 M2N - Modélisation mathématique et numérique
3 IECL - Institut Élie Cartan de Lorraine
4 SPHINX - Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization

In this paper we present an extension to the case of $L^1$-controls of a famous result by Ball--Marsden--Slemrod on the obstruction to the controllability of bilinear control systems in infinite dimensional spaces.

Domaines: Optimisation et contrôle [math.OC]

Nabile Boussaid, Marco Caponigro, Thomas Chambrion. On the Ball-Marsden-Slemrod obstruction for bilinear control systems. CDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨10.1109/CDC40024.2019.9029511⟩. ⟨hal-01537743v3⟩