Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Construction of algebraic and difference equations with a prescribed solution space
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
This paper studies the solution space of systems of algebraic and difference equations, given as auto-regressive (AR) representations A(?) ? (k) = 0, where ? denotes the shift forward operator and A(?) is a regular polynomial matrix. The solution space of such systems consists of forward and backward propagating solutions, over a finite time horizon. This solution space can be constructed from knowledge of the finite and infinite elementary divisor structure of A(?) . ; This work deals with the inverse problem of constructing a family of polynomial matrices A(?) such that the system A(?) ? (k) = 0 satisfies some given forward and backward behavior. Initially, the connection between the backward behavior of an AR representation and the forward behavior of its dual system is showcased. This result is used to construct a system satisfying a certain backward behavior. By combining this result with the method provided by Gohberg et al. (2009) for constructing a system with a forward behavior, an algorithm is proposed for computing a system satisfying the prescribed forward and backward behavior.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 27, number 1 (2017) ; 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) (2017)
Last modified:
Jul 14, 2025
In our library since:
Jul 3, 2025
Number of object content hits:
20
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/100592
Show description in RDF format:
Show description in OAI-PMH format:
-
-
-
-
-
-
-
-
-
-
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 1 (2017)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 2 (2017)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 3 (2017)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 4 (2017)
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
| Edition name | Date |
|---|---|
| Construction of algebraic and difference equations with a prescribed solution space | Jul 14, 2025 |
Objects Similar
Karampetakis, Nicholas P. Tzekis, Panagiotis Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Karampetakis, Nicholas P. Vologiannidis, Stavros Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Karampetakis, Nicholas P. Karamichalis, Rallis Korbicz, Józef (1951- ) - red. Kowal, Marek - red.
Sajewski, Łukasz Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Coll, Carmen Sánchez, Elena Kobusińska, Anna - ed. Hsu, Ching-Hsien - ed. Lin, Kwei-Jay - ed.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Zhai, Guisheng Matsumoto, Yuuki Chen, Xinkai Imae, Joe Kobayashi, Tomoaki Beliczyński, Bartłomiej - red.
Kaczorek, Tadeusz (1932- ) Sajewski, Łukasz Campagner, Andrea - ed. Lenz, Oliver Urs - ed. Xia, Shuyin - ed.
