6533b833fe1ef96bd129b7ef
RESEARCH PRODUCT
On local optima in minimum time control of the restricted three-body problem
Jean-baptiste CaillauAriadna Farréssubject
[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyMathematical optimizationHomotopyCircular restricted three body problemShooting Homotopy02 engineering and technologyMSC : 70F07 (49K15 49N90 58K99)Optimal controlThree-body problem01 natural sciencesOptimal controlMaxima and minimaSwallowtail singularity020901 industrial engineering & automationSingularityLocal optimumBellman equation0103 physical sciencesPath (graph theory)Applied mathematics[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]010303 astronomy & astrophysicsMathematicsdescription
International audience; The structure of local minima for time minimization in the controlled three-body problem is studied. Several homotopies are systematically used to unfold the structure of these local minimizers, and the resulting singularity of the path associated with the value function is analyzed numerically.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-04-19 |