Title 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. 55065511
ISBN 9781479977468
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 MarieCurie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735SADCO The Icelandic Research Fund, Grant 130677 052 ARC Future Fellowship FT1101000746 Humboldt Research Fellowship No information 

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:  01 Apr 2015 06:19 
URI:  https://eref.unibayreuth.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]