SHOC conducts research in the fields of control engineering and systems theory.
The main focus of the team lies on the development of mathematical and methodological tools for control, analysis, estimation, and design of complex systems which are involving dynamics of a heterogeneous nature.
The members of SHOC contribute to cutting edge research in areas of Control Theory, including hybrid dynamical systems (simultaneous presence of discrete and continuous dynamics), data-driven controllers (interaction of physical systems with neural controllers) and heterogeneous distributed parameter systems (e.g. coupling of Ordinary Differential Equations – ODEs - with Partial Differential Equations - PDEs).
Algebraic tools and Lyapunov based methods are developed for realization theory, model reduction, stability analysis, control/observation design, and estimation problems.
Lotfi Belkoura
Switching devices in large scale networks: a sliding mode dynamics perspective
Modélisation de la dynamique du mouvement : combinaison des modèles théoriques et des modèles des données expérimentales
Théorie de la réalisation pour le contrôle adaptatif et l'estimation des systèmes hybrides