title: 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.
authors.affiliation: Institut de Matemàtica Multidisciplinar, Universitat Politècnica de València, 46071 València, Spain.
authors.forename: Begoña
authors.initials: B
authors.lastname: Cantó
authors.affiliation: Institut de Matemàtica Multidisciplinar, Universitat Politècnica de València, 46071 València, Spain.
authors.forename: Rafael
authors.initials: R
authors.lastname: Cantó
authors.affiliation: Institute of System Engineering and Robotics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria.
authors.forename: Snezhana
authors.initials: S
authors.lastname: Kostova
mesh_terms: D055641:Mathematical Concepts