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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 810625, 9 pages
http://dx.doi.org/10.1155/2013/810625
Research Article

Local Observability of Systems on Time Scales

Faculty of Computer Science, Bialystok University of Technology, Wiejska 45a, 15-351 Bialystok, Poland

Received 9 August 2013; Revised 10 October 2013; Accepted 10 October 2013

Academic Editor: Delfim F. M. Torres

Copyright © 2013 Zbigniew Bartosiewicz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.