Title data
Li, Huijuan ; Hafstein, Sigurdur Freyr ; Kellett, Christopher M.:
Computation of Lyapunov functions for discretetime systems using the Yoshizawa 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. 55125517
ISBN 9781479977468
DOI: https://doi.org/10.1109/CDC.2014.7040251
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 ARC Future Fellowship FT1101000746 Humboldt Research Fellowship No information 

Abstract in another language
In this paper, we present a new approach for computing Lyapunov functions for nonlinear discretetime systems with an asymptotically stable equilibrium at the origin. The proposed method constructs a continuous piecewise affine (CPA) function on a compact subset of the state space containing the origin, given a suitable triangulation or partition of the compact set and values at the vertices of the triangulation. Here, the vertex values are fixed using a function from a classical converse Lyapunov theorem originally due to Yoshizawa. Several numerical examples are presented to illustrate the proposed approach.
Further data
Item Type:  Article in a book 

Refereed:  Yes 
Keywords:  Lyapunov methods; discretetime systems; asymptotic stability; linear programming; Yoshizawa construction 
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 06:06 
Last Modified:  01 Apr 2015 06:06 
URI:  https://eref.unibayreuth.de/id/eprint/9495 
Available Versions of this Item

Computation of Lyapunov functions for discretetime systems using the Yoshizawa construction. (deposited 28 Mar 2015 22:00)
 Computation of Lyapunov functions for discretetime systems using the Yoshizawa construction. (deposited 01 Apr 2015 06:06) [Currently Displayed]