• DocumentCode
    1447579
  • Title

    Positive Linear Systems Consisting of n Subsystems With Different Fractional Orders

  • Author

    Kaczorek, Tadeusz

  • Author_Institution
    Fac. of Electr. Eng., Bialystok Univ. of Technol., Bialystok, Poland
  • Volume
    58
  • Issue
    6
  • fYear
    2011
  • fDate
    6/1/2011 12:00:00 AM
  • Firstpage
    1203
  • Lastpage
    1210
  • Abstract
    A new class of positive linear systems consisting of n subsystems with different fractional orders is introduced. Solution to the set of matrix linear differential equations with different fractional orders is derived. Necessary and sufficient conditions for the positivity of the fractional systems are established. It is shown that the linear electrical circuits composed of resistors, supercondensators, coils, and voltage (current) sources are positive systems with different fractional orders.
  • Keywords
    differential equations; linear network synthesis; matrix algebra; coil; fractional order; fractional system; linear electrical circuit; matrix linear differential equation; positive linear system; resistor; supercondensator; voltage source; Coils; Differential equations; Equations; Laplace equations; Linear systems; Stability analysis; Vectors; Electrical circuit; fractional order; linear; positive; solution;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Regular Papers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1549-8328
  • Type

    jour

  • DOI
    10.1109/TCSI.2010.2096111
  • Filename
    5711003
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1447579