Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer’s Theorem

Joint Authors

Cantó, Begoña
Cantó, Rafael
Kostova, Snezhana

Source

The Scientific World Journal

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