• DocumentCode
    3293035
  • Title

    A characterization of solution sets of LTI differential equations

  • Author

    Delvenne, Jean-Charles ; Ivanov, Tzvetan

  • Author_Institution
    Center for Syst. Eng. & Appl. Mech. (CESAME), Univ. Catholique de Louvain, Louvain-la-Neuve, Belgium
  • fYear
    2009
  • fDate
    15-18 Dec. 2009
  • Firstpage
    4288
  • Lastpage
    4291
  • Abstract
    We prove that a controllable set of smooth trajectories is the solution set of a constant coefficient linear differential equation if and only if it is linear, time invariant and closed. This characterization does not involve derivatives in its formulation. It solves a problem opened by Willems.
  • Keywords
    controllability; linear differential equations; LTI differential equation; constant coefficient linear differential equation; smooth trajectories; Circuits; Control theory; Convergence; Differential equations; Kalman filters; State-space methods; Systems engineering and theory; Topology; Transfer functions; Voltage;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
  • Conference_Location
    Shanghai
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-3871-6
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2009.5399519
  • Filename
    5399519
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3293035