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RECENT DEVELOPMENTS IN REACHABILITY AND CONTROLLABILITY OF POSITIVE LINEAR SYSTEMS
R. Bru* L. Caccetta** S. Romero* V. Rumchev** E. Sánchez*
* Universitat Politècnica de València, Camí de Vera s/n, 46002 València,
Spain. rbru@mat.upv.es, sromero@mat.upv.es, esanchezj@mat.upv.es
** School of Mathematics and Statistics, Curtin University of
Technology, GPO Box U 1987, Perth, WA 6845, Australia.
caccetta@cs.curtin.edu.au, rumchevv@cs.curtin.edu.au
In this paper, recent results on the structural properties of positive linear systems are collected and analyzed. The study of reachability and controllability properties of positive invariant linear systems is focussed, mainly, in the recent years, either for discrete and continuous systems when results are known. In addition, all known results of positive periodic linear systems are discussed in the paper. Those results are discussed either with algebraic and combinatorial approaches. Canonical forms of reachability for positive invariant and periodic discrete-time linear systems are displayed and analyzed. Finally, the essential reachability and controllability properties are studied for both kind of systems.
Keywords: Positive linear systems, reachability and controllability, canonical forms, essential reachability and controllabity, combinatorial properties of positive matrices
Session slot T-We-M14: Positive linear systems/Area code 2b : Linear Systems
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