Local Observability of Systems on Time Scales

Analytic systems on an arbitrary time-scale are studied. As particular cases they include continuous-time and discrete-time systems. Several local observability properties are considered. They are characterized in a unified way using the language of real analytic geometry, ideals of germs of analyti...

Full description

Saved in:
Bibliographic Details
Main Author: Zbigniew Bartosiewicz
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/810625
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849308460309544960
author Zbigniew Bartosiewicz
author_facet Zbigniew Bartosiewicz
author_sort Zbigniew Bartosiewicz
collection DOAJ
description Analytic systems on an arbitrary time-scale are studied. As particular cases they include continuous-time and discrete-time systems. Several local observability properties are considered. They are characterized in a unified way using the language of real analytic geometry, ideals of germs of analytic functions, and their real radicals. It is shown that some properties related to observability are preserved under various discretizations of continuous-time systems.
format Article
id doaj-art-0b3f7290c2ff43669857b05dcc40a184
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-0b3f7290c2ff43669857b05dcc40a1842025-08-20T03:54:28ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/810625810625Local Observability of Systems on Time ScalesZbigniew Bartosiewicz0Faculty of Computer Science, Bialystok University of Technology, Wiejska 45a, 15-351 Bialystok, PolandAnalytic systems on an arbitrary time-scale are studied. As particular cases they include continuous-time and discrete-time systems. Several local observability properties are considered. They are characterized in a unified way using the language of real analytic geometry, ideals of germs of analytic functions, and their real radicals. It is shown that some properties related to observability are preserved under various discretizations of continuous-time systems.http://dx.doi.org/10.1155/2013/810625
spellingShingle Zbigniew Bartosiewicz
Local Observability of Systems on Time Scales
Abstract and Applied Analysis
title Local Observability of Systems on Time Scales
title_full Local Observability of Systems on Time Scales
title_fullStr Local Observability of Systems on Time Scales
title_full_unstemmed Local Observability of Systems on Time Scales
title_short Local Observability of Systems on Time Scales
title_sort local observability of systems on time scales
url http://dx.doi.org/10.1155/2013/810625
work_keys_str_mv AT zbigniewbartosiewicz localobservabilityofsystemsontimescales