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Stabilization of positive linear discrete-time systems by using a Brauer's theorem.


ABSTRACT: 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.

SUBMITTER: Canto B 

PROVIDER: S-EPMC4144301 | biostudies-other | 2014

REPOSITORIES: biostudies-other

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