at Google ScholarTitle data
Li, Huijuan ; Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr ; Wirth, Fabian:
Computation of local ISS Lyapunov functions via linear programming.
In:
MTNS 2014 : MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. -
Groningen
: University of Groningen Press
,
2014
. - pp. 1189-1195
ISBN 978-90-367-6321-9
This is the latest version of this item.
Related URLs
Project information
| Project title: |
Project's official title Project's id Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735-SADCO |
|---|---|
| Project financing: |
European Union "FP7-People-ITN" programme |
Abstract in another language
In this paper, we present a numerical algorithm for computing a local ISS Lyapunov function for systems which are locally input-to-state stable (ISS) on compact subsets of the state space. The algorithm relies on a linear programming problem and computes a continuous, piecewise affine ISS Lyapunov function on a simplicial grid covering the given compact set excluding a small neighborhood of the origin. We show that the ISS Lyapunov function delivered by the algorithm is a viscosity subsolution of a partial differential equation.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| Additional notes: | Paper No. 158, full paper.
Contents: I. Introduction II. Notations and preliminaries III. The algorithm III.A Definitions III.B Interpolation errors III.C The algorithm IV. Main result © 2014 IEEE. Reuse of this content is subject to the IEEE Copyright. This content will be published in: Proceedings on the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), July 7–11, 2014, University of Groningen, Groningen, Netherlands, check the forthcoming abstract in IEEE Explore. |
| Keywords: | nonlinear systems; local input-to-state stability; local ISS Lyapunov function; linear programming; viscosity subsolution |
| Subject classification: | Mathematics Subject Classification Code: 93D30 (34D20 93C10) |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Profile Fields > Advanced Fields > Nonlinear Dynamics 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 |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 02 Mar 2015 09:45 |
| Last Modified: | 27 Jun 2024 12:34 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/7724 |
Available Versions of this Item
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Computation of local ISS Lyapunov functions via linear programming. (deposited 14 Feb 2015 22:00)
- Computation of local ISS Lyapunov functions via linear programming. (deposited 02 Mar 2015 09:45) [Currently Displayed]