BACK TO INDEX

Publications of Eduardo D. Sontag jointly with A. Duvall
Conference articles
  1. A. Duvall and E. D. Sontag. Global exponential stability (and contraction of an unforced system) does not imply entrainment to periodic inputs. In Proc. 2024 Automatic Control Conference, 2023. Note: Submitted.
    Abstract:
    It is often of interest to know which systems will approach a periodic trajectory when given a periodic input. Results are available for certain classes of systems, such as contracting systems, showing that they always entrain to periodic inputs. In contrast to this, we demonstrate that there exist systems which are globally exponentially stable yet do not entrain to a periodic input. This could be seen as surprising, as it is known that globally exponentially stable systems are in fact contracting with respect to some Riemannian metric.



BACK TO INDEX




Disclaimer:

This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders.




Last modified: Thu Oct 5 13:19:21 2023
Author: sontag.


This document was translated from BibTEX by bibtex2html