Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Recent developments in 2D positive systems theory
Contributor:
Subtitle:
Recent Developments in Two-Dimensional Linear Systems Theory
Group publication title:
Abstract:
Two-dimensional (2D) positive systems are 2D state space models whose variables take only nonnegative values and, hence, are described by a family (A, B, M, N, C, D) of nonnegative matrices. In the paper, the notions of asymptotic and simple stability, corresponding to an arbitrary set of nonnegative initial conditions, are introduced and related to the spectral properties of the matrix sum A + B. ; Some results concerning the positive realization problem for 2D rational functions are also presented. 2D compartmental models are introduced as 2D positive systems which obey some conservation law, and consequently are characterized by the property that the matrix pair (A, B), responsible for their state-updating, has a substochastic sum. ; A canonical form to which every 2D compartmental model can be reduced is derived here, thus leading to obtaining interesting results about stability and positive realizability problems. The relevance of these models is illustrated by means of a couple of examples.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 7, number 4 (1997) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (1997)
Last modified:
Jul 14, 2025
In our library since:
Nov 23, 2020
Number of object content hits:
179
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/64522
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| Edition name | Date |
|---|---|
| Recent developments in 2D positive systems theory | Jul 14, 2025 |
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