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Discrete-time positive periodic systems with state and control constraints

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Summary:The aim of this paper is to provide an efficient control design technique for discrete-time positive periodic systems. In particular, stability, positivity and periodic invariance of such systems are studied. Moreover, the concept of periodic invariance with respect to a collection of boxes is introduced and investigated with connection to stability. It is shown how such concept can be used for deriving a stabilizing state-feedback control that maintains the positivity of the closed-loop system and respects states and control signals constraints. In addition, all the proposed results can be efficiently solved in terms of linear programming.
Main Authors:Rami, Mustapha Ait
Other Authors:Napp, Diego
Subject:Approximation methods Asymptotic stability Closed loop systems Linear systems Stability analysis
Year:2016
Country:Portugal
Document type:article
Access type:open access
Associated institution:Universidade de Aveiro
Language:English
Origin:RIA - Repositório Institucional da Universidade de Aveiro

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