84 citations · 342 across the 90 of their papers we have counts for
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Optimal Control of PDEs using Occupation Measures and SDP Relaxations
Victor Magron, Christophe Prieur
This paper addresses the problem of solving a class of nonlinear optimal control problems (OCP) with infinite-dimensional linear state constraints involving Riesz-spectral operator…
Occupation measure methods for modelling and analysis of biological hybrid automata
Alexandre Rocca, Marcelo Forets, Victor Magron +2
Mechanistic models in biology often involve numerous parameters about which we do not have direct experimental information. The traditional approach is to fit these parameters usin…
Algorithms for Weighted Sums of Squares Decomposition of Non-negative Univariate Polynomials
Victor Magron, Mohab Safey El Din, Markus Schweighofer
It is well-known that every non-negative univariate real polynomial can be written as the sum of two polynomial squares with real coefficients. When one allows a weighted sum of fi…
Semidefinite Approximations of Reachable Sets for Discrete-time Polynomial Systems
Victor Magron, Pierre-Loic Garoche, Didier Henrion +1
We consider the problem of approximating the reachable set of a discrete-time polynomial system from a semialgebraic set of initial conditions under general semialgebraic set const…