Search results for "optimization"
showing 10 items of 2824 documents
Riemannian metric of the averaged controlled Kepler equation
2005
International audience
Differential pathfollowing for regular optimal control problems
2012
International audience
Numerical control and orbital transfers
2002
International audience
Smooth homotopies for single-input time optimal orbital transfer
2006
International audience
Special issue in the honor of Bernard Bonnard. Part I and II
2013
International audience
Smooth approximations of single-input controlled Keplerian trajectories: homotopies and averaging
2006
International audience
Differential inclusions involving normal cones of nonregular sets in Hilbert spaces
2017
This thesis is dedicated to the study of differential inclusions involving normal cones of nonregular sets in Hilbert spaces. In particular, we are interested in the sweeping process and its variants. The sweeping process is a constrained differential inclusion involving normal cones which appears naturally in several applications such as elastoplasticity, electrical circuits, hysteresis, crowd motion, etc.This work is divided conceptually in three parts: Study of positively alpha-far sets, existence results for differential inclusions involving normal cones and characterizations of Lyapunov pairs for the sweeping process. In the first part (Chapter 2), we investigate the class of positivel…
Conjugate and cut loci in averaged orbital transfer
2006
The objective of this Note is to describe the conjugate and cut loci associated with the averaged energy minimization problem in coplanar orbit transfer.
Time minimization versus energy minimization in the one-input controlled Kepler problem with weak propulsion
2014
International audience
Algebraic-geometric techniques for the feedback classification and robustness of the optimal control of a pair of Bloch equations with application to…
2017
The aim of this article is to classify the singular trajectories associated with the optimal control problems of a pair of controlled Bloch equations. The motivation is to analyze the robustness of the optimal solutions to the contrast and the time-minimal saturation problem, in magnetic resonance imaging, with respect to the parameters and B1-inhomogeneity. For this purpose, we use various computer algebra algorithms and methods to study solutions of polynomial systems of equations and inequalities which are used for classification issues: Gröbner basis, cylindrical algebraic decomposition of semi-algebraic sets, Thom's isotopy lemma.