On the triangular canonical form for uniformly observable controlled systems

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.

References in corpus (2)

• On the Existence of a Kazantzis-Kravaris/Luenberger Observer
• Observers for a non-Lipschitz triangular form

Cited by in corpus (2)

• Observers for a non-Lipschitz triangular form
• New perspectives on output feedback stabilization at an unobservable target