In this paper, we address the problem of uncertainty propagation through nonlinear
stochastic dynamical systems. More precisely, given a discrete-time continuous-state …

Future Industry 4.0 scenarios are characterized by seamless integration between
computational and physical processes. To achieve this objective, dense platforms made of …

This work presents a method to obtain inner and outer approximations of the region of
attraction of a given target set as well as an admissible controller generating the inner …

We investigate a class of moment problems, namely recovering a measure supported on the
graph of a function from partial knowledge of its moments, as, for instance, in some problems …

This paper presents a linear programming approach for the optimal control of nonlinear
switched systems where the control is the switching sequence. This is done by introducing …

We consider the problem of approximating numerically the moments and the supports of
measures which are invariant with respect to the dynamics of continuous-and discrete-time …

We propose a new LMI approach to the design of optimal switching sequences for
polynomial dynamical systems with state constraints. We formulate the switching design …

Moment optimization techniques have been recently proposed to solve globally various
classes of optimal control problems. Since those methods return truncated moment …

Cette thèse s' intéresse au calcul de solutions globales de problèmes de commande
optimale en boucle ouverte. La méthodologie générale se base sur l'approche par les …

This paper considers solving optimal control of switched systems with polynomial data
globally, where the number of switches and the switching signal are not preassigned. The …