at Google ScholarTitle data
Hafstein, Sigurdur Freyr ; Kellett, Christopher M. ; Li, Huijuan:
Computing continuous and piecewise affine Lyapunov functions for nonlinear systems.
In: Journal of Computational Dynamics.
Vol. 2
(2015)
Issue 2
.
- pp. 227-246.
ISSN 2158-2491
DOI: https://doi.org/10.3934/jcd.2015004
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: |
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Alexander von Humboldt-Stiftung Marie-Curie Initial Training Network Australian Research Council |
Abstract in another language
We present a numerical technique for the computation of a Lyapunov function for nonlinear systems with an asymptotically stable equilibrium point. The proposed approach constructs a partition of the state space, called a triangulation, and then computes values at the vertices of the triangulation using a Lyapunov function from a classical converse Lyapunov theorem due to Yoshizawa. A simple interpolation of the vertex values then yields a Continuous and Piecewise Affine (CPA) function. Verification that the obtained CPA function is a Lyapunov function is shown to be equivalent to verification of several simple linear inequalities. A numerical example is provided to illustrate the advantages of the proposed technique.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | Lyapunov function; Lyapunov methods; nonlinear systems; continuous and piecewise affine approximation |
| 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: | 27 Jun 2016 04:50 |
| Last Modified: | 21 Aug 2025 11:34 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/33076 |
Available Versions of this Item
-
Computing continuous and piecewise affine Lyapunov functions for nonlinear systems. (deposited 18 Apr 2015 21:00)
- Computing continuous and piecewise affine Lyapunov functions for nonlinear systems. (deposited 27 Jun 2016 04:50) [Currently Displayed]