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4 papers · 2 filters
Controllability properties of a class of systems modeling swimming microscopic organisms
Mario Sigalotti, Jean-Claude Vivalda
We consider a finite-dimensional model for the motion of microscopic organisms whose propulsion exploits the action of a layer of cilia covering its surface. The model couples Newt…
Constraint Algorithm for Extremals in Optimal Control Problems
Maria Barbero-Liñan, Miguel C. Muñoz-Lecanda
A geometric method is described to characterize the different kinds of extremals in optimal control theory. This comes from the use of a presymplectic constraint algorithm starting…
Singular arcs in the generalized Goddard's Problem
Frédéric Bonnans, Pierre Martinon, Emmanuel Trélat
We investigate variants of Goddard's problems for nonvertical trajectories. The control is the thrust force, and the objective is to maximize a certain final cost, typically, the f…
Organization of the Modulopt collection of optimization problems in the Libopt environment -- Version 1.0
J. Charles Gilbert
This note describes how the optimization problems of the Modulopt collection are organized within the Libopt environment. It is aimed at being a guide for using and enriching this…