Abstract—In this paper, reachability properties of discretetime positive switched systems are investigated. Sufficient conditions for positive reachability to hold, together with interesting examples, disproving some of the most natural conjectures, are provided. The concept of monomial reachability, which represents a necessary condition for reachability, is then explored, and a tight upper bound on the length of the shortest switching sequence which allows to reach a monomial vector is provided.

Reachability properties of discrete-time positive switched systems

SANTESSO, PAOLO;VALCHER, MARIA ELENA
2006

Abstract

Abstract—In this paper, reachability properties of discretetime positive switched systems are investigated. Sufficient conditions for positive reachability to hold, together with interesting examples, disproving some of the most natural conjectures, are provided. The concept of monomial reachability, which represents a necessary condition for reachability, is then explored, and a tight upper bound on the length of the shortest switching sequence which allows to reach a monomial vector is provided.
2006
PROCEEDINGS OF THE 45th IEEE Conf. on Decision and Control (CDC 2006)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2442108
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