The minimum time control of the circular restricted three-body problem is considered. Controllability is proved on an adequate submanifold. Singularities of the extremal flow are studied by means of a stratification of the switching surface. Properties of homotopy maps in optimal control are framed in a simple case. The analysis is used to perform continuations on the two parameters of the problem: The ratio of the masses, and the magnitude of the control
We have investigated the existence and stability of the libration points in the circular restricted ...
This paper considers the motion planning problem for oriented vehicles travelling at unit speed in a...
This paper considers the motion planning problem for oriented vehicles travelling at unit speed in a...
The minimum time control of the circular restricted three-body problem is considered. Controllabilit...
International audienceThe structure of local minima for time minimization in the controlled three-bo...
International audienceIn this paper, the L1-minimization for the translational motion of a spacecra...
The brachistochrone problem is usually solved in classical mechanics courses using the calculus of v...
International audienceAffine control problems arise naturally from controlled mechanical systems. Bu...
International audienceAffine control problems arise naturally from controlled mechanical systems. Bu...
Abstract. We show that the planar circular restricted three body problem is of restricted contact ty...
Abstract: We consider the plane circular restricted three-body problem for small mass rati...
The context of this work is space mechanics. More precisely, we aim at computing low thrust transfer...
We analyze the structure of a control function u(t) corresponding to an optimal trajectory for the s...
International audienceIn this work, a new robust and fast method is developed to perform transfers t...
In this article, the minimum time control problem of an electric vehicle is modeled as a Mayer probl...
We have investigated the existence and stability of the libration points in the circular restricted ...
This paper considers the motion planning problem for oriented vehicles travelling at unit speed in a...
This paper considers the motion planning problem for oriented vehicles travelling at unit speed in a...
The minimum time control of the circular restricted three-body problem is considered. Controllabilit...
International audienceThe structure of local minima for time minimization in the controlled three-bo...
International audienceIn this paper, the L1-minimization for the translational motion of a spacecra...
The brachistochrone problem is usually solved in classical mechanics courses using the calculus of v...
International audienceAffine control problems arise naturally from controlled mechanical systems. Bu...
International audienceAffine control problems arise naturally from controlled mechanical systems. Bu...
Abstract. We show that the planar circular restricted three body problem is of restricted contact ty...
Abstract: We consider the plane circular restricted three-body problem for small mass rati...
The context of this work is space mechanics. More precisely, we aim at computing low thrust transfer...
We analyze the structure of a control function u(t) corresponding to an optimal trajectory for the s...
International audienceIn this work, a new robust and fast method is developed to perform transfers t...
In this article, the minimum time control problem of an electric vehicle is modeled as a Mayer probl...
We have investigated the existence and stability of the libration points in the circular restricted ...
This paper considers the motion planning problem for oriented vehicles travelling at unit speed in a...
This paper considers the motion planning problem for oriented vehicles travelling at unit speed in a...