On the triangular canonical form for uniformly observable controlled systems
Optimization and Control
2019-04-30 v1 Differential Geometry
Abstract
We study controlled systems which are uniformly observable and differentially observable with an order larger than the system state dimension. We establish that they may be transformed into a (partial) triangular canonical form but with possibly non locally Lipschitz functions. We characterize the points where this Lipschitzness may be lost and investigate the link with uniform infinitesimal observability.
Keywords
Cite
@article{arxiv.1711.10237,
title = {On the triangular canonical form for uniformly observable controlled systems},
author = {Pauline Bernard and Laurent Praly and Vincent Andrieu and Hassan Hammouri},
journal= {arXiv preprint arXiv:1711.10237},
year = {2019}
}