Sufficient conditions for time optimality of systems with control on the disk
Optimization and Control
2019-11-12 v1
Abstract
The case of time minimization for affine control systems with control on the disk is studied. After recalling the standard sufficient conditions for local optimality in the smooth case, the analysis focusses on the specific type of singularities encountered when the control is prescribed to the disk. Using a suitable stratification, the regularity of the flow is analyzed, which helps to devise verifiable sufficient conditions in terms of left and right limits of Jacobi fields at a switching point. Under the appropriate assumptions, piecewise regularity of the field of extremals is obtained.
Keywords
Cite
@article{arxiv.1911.04276,
title = {Sufficient conditions for time optimality of systems with control on the disk},
author = {Jean-Baptiste Caillau and Michael Orieux},
journal= {arXiv preprint arXiv:1911.04276},
year = {2019}
}