8 citations · 20 across the 4 of their papers we have counts for
7 papers
Geometric control of algebraic systems
Benoît Legat, Raphaël M. Jungers
In this paper, we present a geometric approach for computing the controlled invariant set of a continuous-time control system. While the problem is well studied for in the ellipsoi…
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…
An entropy-based bound for the computational complexity of a switched system
Benoît Legat, Pablo A. Parrilo, Raphaël M. Jungers
The joint spectral radius (JSR) of a set of matrices characterizes the maximal asymptotic growth rate of an infinite product of matrices of the set. This quantity appears in a numb…
Computing controlled invariant sets for hybrid systems with applications to model-predictive control
Benoît Legat, Paulo Tabuada, Raphaël M. Jungers
In this paper, we develop a method for computing controlled invariant sets using Semidefinite Programming. We apply our method to the controller design problem for switching affine…