Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer’s Theorem
Joint Authors
Cantó, Begoña
Cantó, Rafael
Kostova, Snezhana
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-11
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered.
A method based on a Brauer’s theorem is proposed for solving the problem.
It allows us to modify some eigenvalues of the system without changing the rest of them.
The problem is studied for the single-input single-output (SISO) and for multi-input multioutput (MIMO) cases and sufficient conditions for stability and positivity of the closed-loop system are proved.
The results are illustrated by numerical examples and the proposed method is used in stochastic systems.
American Psychological Association (APA)
Cantó, Begoña& Cantó, Rafael& Kostova, Snezhana. 2014. Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer’s Theorem. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1051362
Modern Language Association (MLA)
Cantó, Begoña…[et al.]. Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer’s Theorem. The Scientific World Journal No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1051362
American Medical Association (AMA)
Cantó, Begoña& Cantó, Rafael& Kostova, Snezhana. Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer’s Theorem. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1051362
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051362