Abstract—In the first part of the paper the reachability property for positive switched systems which commute among n single-input n-dimensional systems is investigated. By referring to a (hard to check) necessary and sufficient condition for the reachability of this class of systems [8], we develop new algebraic tools which allow us to derive sufficient reachability conditions which are easy to test. In the second part of the paper weak reachability is introduced and a sufficient condition for this property to hold is provided.
On the reachability and weak reachability of single-input positive switched systems
VALCHER, MARIA ELENA;
2008
Abstract
Abstract—In the first part of the paper the reachability property for positive switched systems which commute among n single-input n-dimensional systems is investigated. By referring to a (hard to check) necessary and sufficient condition for the reachability of this class of systems [8], we develop new algebraic tools which allow us to derive sufficient reachability conditions which are easy to test. In the second part of the paper weak reachability is introduced and a sufficient condition for this property to hold is provided.
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