• DocumentCode
    2841131
  • Title

    A Note on Minimal Positive Realizations of Continuous-Time Linear Systems

  • Author

    Sun, Yuwei ; Yu, Wensheng ; Wang, Long

  • Author_Institution
    Chinese Acad. of Sci., Beijing
  • fYear
    2007
  • fDate
    15-17 April 2007
  • Firstpage
    123
  • Lastpage
    128
  • Abstract
    We mainly discuss minimal positive realizations of nth-order rational transfer functions of continuous-time linear time-invariant single-input-single-output (SISO) systems and provide conditions for these systems to have positive realizations of the same order. The results obtained can aid in deciding the minimal compartment number of a compartmental system, finding a representation for a phase type (PH) distribution. One numerical example is employed to validate the results.
  • Keywords
    continuous time systems; discrete time systems; linear systems; transfer functions; SISO systems; compartmental system; continuous-time linear systems; minimal positive realizations; nth-order rational transfer functions; phase type distribution; time-invariant single-input-single-output systems; Control systems; Educational technology; Linear systems; Microwave filters; Nonlinear filters; Optical design; Optical filters; Signal design; Sun; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Networking, Sensing and Control, 2007 IEEE International Conference on
  • Conference_Location
    London
  • Print_ISBN
    1-4244-1076-2
  • Electronic_ISBN
    1-4244-1076-2
  • Type

    conf

  • DOI
    10.1109/ICNSC.2007.372763
  • Filename
    4238976