9 citations · 43 across the 9 of their papers we have counts for
4 papers · 1 filter
Abstraction-based branch and bound approach to Q-learning for hybrid optimal control
Benoît Legat, Raphaël M. Jungers, Jean Bouchat
In this paper, we design a theoretical framework allowing to apply model predictive control on hybrid systems. For this, we develop a theory of approximate dynamic programming by l…
Stability of Planar Switched Systems under Delayed Event Detection
Benoît Legat, Cláudio Gomes, Paschalis Karalis +3
In this paper, we analyse the impact of delayed event detection on the stability of a 2-mode planar hybrid automata. We consider hybrid automata with a unique equilibrium point for…
Piecewise semi-ellipsoidal control invariant sets
Benoît Legat, Saša V. Raković, Raphaël M. Jungers
Computing control invariant sets is paramount in many applications. The families of sets commonly used for computations are ellipsoids and polyhedra. However, searching for a contr…
MathOptInterface: a data structure for mathematical optimization problems
Benoit Legat, Oscar Dowson, Joaquim Dias Garcia +1
We introduce MathOptInterface, an abstract data structure for representing mathematical optimization problems based on combining pre-defined functions and sets. MathOptInterface is…