6533b825fe1ef96bd1283041
RESEARCH PRODUCT
Classification of local optimal syntheses for time minimal control problems with state constraints
Bernard BonnardLudovic FaubourgEmmanuel Trélatsubject
[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]description
This paper describes the analysis under generic assumptions of the small \textit{time minimal syntheses} for single input affine control systems in dimension $3$, submitted to \textit{state constraints}. We use geometric methods to evaluate \textit{the small time reachable set} and necessary optimality conditions. Our work is motivated by the \textit{optimal control of the atmospheric arc for the re-entry of a space shuttle}, where the vehicle is subject to constraints on the thermal flux and on the normal acceleration.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-01-01 |