Pole-assignment for a class of positive linear systems |
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Authors: | D. J. G. James S. P. Kostova V. G. Rumchev |
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Affiliation: | University of Louvain , Louvain-la-Neuve, Belgium. |
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Abstract: | Positive systems are defined as systems with trajectories entirely in the non-negative orthant whenever the initial state is non-negative. The cohort-type model represents the class of positive linear systems considered here. The method and procedure for pole-assignment of the corresponding closed-loop positive system is proposed. The method is based on inverse eigenspectrum conditions developed for the class of system under consideration and on monomial similarity of non-negative matrices. The relation between controllability and pole-assignment is also studied. Numerical examples illustrating the procedure are provided. |
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