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Title: Discrete-time positive periodic systems with state and control constraints
Author: Rami, Mustapha Ait
Napp, Diego
Keywords: Approximation methods
Asymptotic stability
Closed loop systems
Linear systems
Stability analysis
Issue Date: Jan-2016
Publisher: IEEE
Abstract: 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.
Peer review: yes
DOI: 10.1109/TAC.2015.2438428
ISSN: 0018-9286
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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