Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case (2008)
Bonnard, B., Chyba, M., Sugny, D.
The objective of this article is to complete preliminary results concerning the time-minimal control of dissipative two-level quantum systems whose dynamics is governed by Lindblad equations. The...
Singular Trajectories in Multi-Input Time-Optimal (2007)
Problems Application To, M. Chyba, N. E. Leonard, E. D. Sontag
This paper addresses the time-optimal control problem for a class of control systems which includes controlled mechanical systems with possible dissipation terms. The Lie algebras associated with...
Chyba, M., Leonard, N. E., Sontag, E. D.
This paper addresses the time-optimal control problem for a class of control systems which includes controlled mechanical systems with possible dissipation terms. The Lie algebras associated with...
Optimality for underwater vehicles (2001)
In this paper, we study time-optimal trajectories for fully actuated planar underwater vehicles, with constraints on input forces. Using the Maximum Principle, we focus on the structure of singular...
Time optimal paths for a mobile robot with one trailer (1999)
Optimal paths are in many ways interesting to motion planning. Not only they are obviously the most interesting ones with respect to the optimized criterion, but also they offer a way of studying the...
Nonholonomic Deformation of a Potential Field for Motion Planning (1999)
One of the approaches to collision-free nonholonomic motion planning is the "approximation method". The corresponding planners compute first a holonomic path among obstacles before...