• DocumentCode
    1097244
  • Title

    Reachability Properties of Continuous-Time Positive Systems

  • Author

    Valcher, Maria Elena

  • Author_Institution
    Dipt. di Ing. dell´´Inf., Univ. di Padova, Padova, Italy
  • Volume
    54
  • Issue
    7
  • fYear
    2009
  • fDate
    7/1/2009 12:00:00 AM
  • Firstpage
    1586
  • Lastpage
    1590
  • 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;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2009.2015556
  • Filename
    5109513