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Pole-assignment for controllable positive linear discrete time systems

Kostova S.

Systems Science

2002

Vol. 28, nr 2

41-50

The aim of this paper is to investigate the relation between controllability and pole-assignment for positive linear discrete-time systems by analogy with nonconstrained systems on the basis of existing in the literature controllability criteria and controllability canonical form. Conditions on the system matrices and closed-loop eigenvalues are presented, which guarantee that there exists a positive feedback matrix with appropriate structure such that the closed-loop system is positive and should have a prescribed set of eigenvalues. The method and procedure for pole-assignment of controllable positive systems are proposed. A numerical example illustrating the procedure is provided.