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In the paper, the k-switching reachability set Rk of a continuous-time positive switched system is introduced, and a necessary and sufficient condition for the chain of this sets {Rk, k ϵ ⇔} to stop increasing after some finite index k is given. It is shown that, for special classes of (multiple-input) positive switched systems, reachability always ensures that ]> , n being the system dimension. [ABSTRACT FROM AUTHOR]

In this survey paper, reachability properties for discrete-time positive systems, two-dimensional discrete state-space models and discrete-time positive switched systems are introduced and characterized. Comparisons among the results obtained in these three settings are presented, thus enlightening which results can be easily extended and what aspects, at present time, are still challenging open problems. [ABSTRACT FROM AUTHOR]

In this paper, controllability and reachability properties of continuous-time positive switched systems are investigated. It is first shown that such systems are never controllable. On the other hand, monomial reachability, which represents a necessary condition for reachability, is fully characterized. Such a condition is also sufficient for reachability when dealing either with switched systems of size 2 or with positive (non-switched) systems. [ABSTRACT FROM AUTHOR]

In this paper, controllability and reachability properties of continuoustime positive switched systems are investigated. It is first shown that such systems are never controllable. On the other hand, monomial reachability, which represents a necessary condition for reachability, is fully characterized. Such a condition is also sufficient for reachability when dealing either with switched systems of size 2 or with positive (non-switched) systems. [ABSTRACT FROM AUTHOR]