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11 papers · 2 filters
Generic controllability properties for the bilinear Schrödinger equation
Paolo Mason, Mario Sigalotti
In [15] we proposed a set of sufficient conditions for the approximate controllability of a discrete-spectrum bilinear Schrödinger equation. These conditions are expressed in terms…
High order sufficient conditions for tracking
María Barbero-Liñán, Mario Sigalotti
In this paper, we study under which conditions the trajectories of a mechanical control system can track any curve on the configuration manifold. We focus on systems that can be re…
About Dynamical Systems Appearing in the Microscopic Traffic Modeling
Nadir Farhi, Maurice Goursat, Jean-Pierre Quadrat
Motivated by microscopic traffic modeling, we analyze dynamical systems which have a piecewise linear concave dynamics not necessarily monotonic. We introduce a deterministic Petri…
Initialization of the Shooting Method via the Hamilton-Jacobi-Bellman Approach
Emiliano Cristiani, Pierre Martinon
The aim of this paper is to investigate from the numerical point of view the possibility of coupling the Hamilton-Jacobi-Bellman (HJB) equation and Pontryagin's Minimum Principle (…
Minimal half-spaces and external representation of tropical polyhedra
Stephane Gaubert, Ricardo D. Katz
We give a characterization of the minimal tropical half-spaces containing a given tropical polyhedron, from which we derive a counter example showing that the number of such minima…
On convex problems in chance-constrained stochastic model predictive control
Eugenio Cinquemani, Mayank Agarwal, Debasish Chatterjee +1
We investigate constrained optimal control problems for linear stochastic dynamical systems evolving in discrete time. We consider minimization of an expected value cost over a fin…