Zappavigna, Annalisa and Colaneri, Patrizio and Kirkland, Steve and Shorten, Robert N. (2010) On the preservation of co-positive Lyapunov functions under Padé discretization for positive systems. In: 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), 5-9 July 2010, Budapest, Hungary.

Download (235kB)

Abstract

In this paper the discretization of switched and non-switched linear positive systems using Padé approximations is considered. We show: 1) first order diagonal Padé approximation preserves both linear and quadratic co-positive Lyapunov functions, higher order transformations need an additional condition on the sampling time1; 2) positivity need not be preserved even for arbitrarily small sampling time for certain Padé approximations. Sufficient conditions on the Padé approximations are given to preserve positivity of the discrete-time system. Finally, some examples are given to illustrate the efficacy of our results.

Item Type:	Conference or Workshop Item (Paper)
Keywords:	Lyapunov functions; Padé; positive systems;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	2195
Depositing User:	Professor Steve Kirkland
Date Deposited:	15 Oct 2010 11:27
Refereed:	Yes
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

Repository Staff Only(login required)

Item control page

Downloads

Origin of downloads