• DocumentCode
    700541
  • Title

    System equivalence for AR-systems over rings

  • Author

    Habets, L.C.G.J.M.

  • Author_Institution
    Inst. fur Dynamische Syst., Univ. Bremen, Bremen, Germany
  • fYear
    1997
  • fDate
    1-7 July 1997
  • Firstpage
    658
  • Lastpage
    663
  • Abstract
    In this paper we introduce the notion of an AR-system over an arbitrary integral domain R. This type of systems can be used for the modeling of delay-differential systems with (in)commensurable delays. In this approach, the signal space is considered as a module M over R. We study system equivalence, and show that it is characterized by division properties of the system defining matrices over a ring RM. RM is a ring extension of R, explicitly depending on M. Finally, we apply these results to delay-differential systems.
  • Keywords
    algebra; autoregressive processes; differential equations; AR-systems; arbitrary integral domain; commensurable delays; delay-differential systems; division properties; rings; signal space; system equivalence; Delays; Discrete-time systems; Electronic mail; Europe; Facsimile; Kernel; Polynomials; AR-systems over rings; Behaviors; delay-differential systems; system equivalence;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1997 European
  • Conference_Location
    Brussels
  • Print_ISBN
    978-3-9524269-0-6
  • Type

    conf

  • Filename
    7082171
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=700541