Title :
Reachability Properties of Continuous-Time Positive Systems
Author :
Valcher, Maria Elena
Author_Institution :
Dipt. di Ing. dell´´Inf., Univ. di Padova, Padova, Italy
fDate :
7/1/2009 12:00:00 AM
Abstract :
In this technical note, reachability properties of continuous-time positive systems are introduced and characterized. Specifically, first it is shown that reachability and strong reachability are equivalent properties, and thus the characterization of strong reachability derived in is extended to the weaker notion of reachability. In the second part of the technical note, essential reachability is introduced, and necessary and sufficient conditions for this property to hold are provided.
Keywords :
continuous time systems; directed graphs; reachability analysis; continuous-time positive systems; directed graph; reachability properties; Behavioral science; Biological system modeling; Biomedical engineering; Computational biology; Context modeling; Filters; Mathematical model; Sufficient conditions; Systems biology; Continuous-time positive system; directed graph; essential reachability; reachability; strong reachability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2015556
