54 citations · 108 across the 4 of their papers we have counts for
4 papers
Optimizing running a race on a curved track
Amandine Aftalion, Pierre Martinon
In order to determine the optimal strategy to run a race on a curved track according to the lane number, we introduce a model based on differential equations for the velocity, the…
Optimal Design for Purcell Three-link Swimmer
Laetitia Giraldi, Pierre Martinon, Marta Zoppello
In this paper we address the question of the optimal design for the Purcell 3-link swim-mer. More precisely we investigate the best link length ratio which maximizes its displace-m…
A shooting algorithm for problems with singular arcs
Maria Soledad Aronna, J. Frederic Bonnans, Pierre Martinon
In this article we propose a shooting algorithm for a class of optimal control problems for which all control variables appear linearly. The shooting system has, in the general cas…
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 (…