at Google ScholarTitle data
Björnsson, Jóhann ; Giesl, Peter ; Hafstein, Sigurdur Freyr ; Kellett, Christopher M. ; Li, Huijuan:
Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction.
In:
Proceedings of the IEEE 53rd Annual Conference on Decision and Control Held in Los Angeles, California, 2014. -
Los Angeles, CA, USA
: Institute of Electrical and Electronics Engineers (IEEE)
,
2014
. - pp. 5506-5511
ISBN 978-1-4799-7746-8
DOI: https://doi.org/10.1109/CDC.2014.7040250
This is the latest version of this item.
Related URLs
Project information
| Project title: |
Project's official title Project's id SADCO - Sensitivity Analysis for Deterministic Controller Design 264735 |
|---|---|
| Project financing: |
Alexander von Humboldt-Stiftung Marie-Curie Initial Training Network ARC Future Fellowship The Icelandic Research Fund |
Abstract in another language
The numerical construction of Lyapunov functions provides useful information on system behavior. In the Continuous and Piecewise Affine (CPA) method, linear programming is used to compute a CPA Lyapunov function for continuous nonlinear systems. This method is relatively slow due to the linear program that has to be solved. A recent proposal was to compute the CPA Lyapunov function based on a Lyapunov function in a converse Lyapunov theorem by Yoshizawa. In this paper we propose computing CPA Lyapunov functions using a Lyapunov function construction in a classic converse Lyapunov theorem by Massera. We provide the theory for such a computation and present several examples to illustrate the utility of this approach.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| Keywords: | Lyapunov methods; nonlinear continuous systems; asymptotic stability; linear programming; Massera construction; approximation methods |
| Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 01 Apr 2015 06:19 |
| Last Modified: | 25 Aug 2025 09:26 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/9539 |
Available Versions of this Item
-
Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction. (deposited 28 Mar 2015 22:00)
- Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction. (deposited 01 Apr 2015 06:19) [Currently Displayed]