An operator-theoretic viewpoint to non-smooth dynamical systems : Koopman analysis of a hybrid pendulum
(2016) 55th IEEE Conference on Decision and Control, CDC 2016 In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 p.6477-6484- Abstract
We apply an operator-theoretic viewpoint to a class of non-smooth dynamical systems that are exposed to event-triggered state resets. The considered benchmark problem is that of a pendulum which receives a downward kick at certain fixed angles. The pendulum is modeled as a hybrid automaton and is analyzed from both a geometric perspective and the formalism of Koopman operator theory. A connection is drawn between these two interpretations of a dynamical system by establishing a link between the spectral properties of the Koopman operator and the geometric properties in the state-space.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/62ce680f-147d-4162-b373-093029c5d9bc
- author
- Govindarajan, Nithin ; Arbabi, Hassan ; Van Blargian, Louis ; Matchen, Timothy ; Tegling, Emma LU and Mezic, Igor
- publishing date
- 2016-12-27
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 2016 IEEE 55th Conference on Decision and Control, CDC 2016
- series title
- 2016 IEEE 55th Conference on Decision and Control, CDC 2016
- article number
- 7799266
- pages
- 8 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 55th IEEE Conference on Decision and Control, CDC 2016
- conference location
- Las Vegas, United States
- conference dates
- 2016-12-12 - 2016-12-14
- external identifiers
-
- scopus:85010788244
- ISBN
- 9781509018376
- DOI
- 10.1109/CDC.2016.7799266
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2016 IEEE.
- id
- 62ce680f-147d-4162-b373-093029c5d9bc
- date added to LUP
- 2021-11-24 09:56:29
- date last changed
- 2022-02-02 01:37:14
@inproceedings{62ce680f-147d-4162-b373-093029c5d9bc, abstract = {{<p>We apply an operator-theoretic viewpoint to a class of non-smooth dynamical systems that are exposed to event-triggered state resets. The considered benchmark problem is that of a pendulum which receives a downward kick at certain fixed angles. The pendulum is modeled as a hybrid automaton and is analyzed from both a geometric perspective and the formalism of Koopman operator theory. A connection is drawn between these two interpretations of a dynamical system by establishing a link between the spectral properties of the Koopman operator and the geometric properties in the state-space.</p>}}, author = {{Govindarajan, Nithin and Arbabi, Hassan and Van Blargian, Louis and Matchen, Timothy and Tegling, Emma and Mezic, Igor}}, booktitle = {{2016 IEEE 55th Conference on Decision and Control, CDC 2016}}, isbn = {{9781509018376}}, language = {{eng}}, month = {{12}}, pages = {{6477--6484}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, series = {{2016 IEEE 55th Conference on Decision and Control, CDC 2016}}, title = {{An operator-theoretic viewpoint to non-smooth dynamical systems : Koopman analysis of a hybrid pendulum}}, url = {{http://dx.doi.org/10.1109/CDC.2016.7799266}}, doi = {{10.1109/CDC.2016.7799266}}, year = {{2016}}, }