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An algebraic approach to the structural properties of positive state control systems
Author(s) -
Ricarte Beatriz,
RomeroVivó Sergio
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4351
Subject(s) - orthant , controllability , reachability , mathematics , algebraic number , state space , positive systems , state (computer science) , algebraic structure , population , control (management) , pure mathematics , control theory (sociology) , algebra over a field , linear system , combinatorics , computer science , mathematical analysis , algorithm , statistics , demography , artificial intelligence , sociology
In this paper, we deal with discrete‐time linear control systems in which the state is constrained to lie in the positive orthantR + nindependently of the inputs involved, that is, the inputs can take negative values. Such (positive state) systems appear, for example, in ecology models where the removal of individuals from a population is described. Controllability and reachability are fundamental properties of a system that show its ability to move in space, which are analyzed from an algebraic point of view throughout the text, paying special attention to the single‐input case. Copyright © 2017 John Wiley & Sons, Ltd.