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Controllability and Observability Criteria for Linear Piecewise Constant Impulsive Systems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-02
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
Impulsive differential systems are an important class of mathematical models for many practical systems in physics, chemistry, biology, engineering, and information science that exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynamical processes.
This paper studies the controllability and observability of linear piecewise constant impulsive systems.
Necessary and sufficient criteria for reachability and controllability are established, respectively.
It is proved that the reachability is equivalent to the controllability under some mild conditions.
Then, necessary and sufficient criteria for observability and determinability of such systems are established, respectively.
It is also proved that the observability is equivalent to the determinability under some mild conditions.
Our criteria are of the geometric type, and they can be transformed into algebraic type conveniently.
Finally, a numerical example is given to illustrate the utility of our criteria.
American Psychological Association (APA)
Shi, Hong& Xie, Guangming. 2012. Controllability and Observability Criteria for Linear Piecewise Constant Impulsive Systems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-993014
Modern Language Association (MLA)
Shi, Hong& Xie, Guangming. Controllability and Observability Criteria for Linear Piecewise Constant Impulsive Systems. Journal of Applied Mathematics No. 2012 (2012), pp.1-24.
https://search.emarefa.net/detail/BIM-993014
American Medical Association (AMA)
Shi, Hong& Xie, Guangming. Controllability and Observability Criteria for Linear Piecewise Constant Impulsive Systems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-993014
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993014