Title :
Reachability properties of discrete-time positive switched systems
Author :
Santesso, Paolo ; Valcher, Maria Elena
Abstract :
In this paper, reachability properties of discrete-time 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
Keywords :
control system analysis; discrete time systems; reachability analysis; time-varying systems; discrete-time positive switched systems; monomial reachability; monomial vector; necessary condition; reachability properties; sufficient condition; tight upper bound; Biochemistry; Control systems; Linear systems; Mathematical model; Sufficient conditions; Switched systems; Switches; USA Councils; Upper bound; Vectors;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377405
