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Browse Journals & Magazines > Circuits and Systems I: Regul ...> Volume:58 Issue:6 Help

Positive Linear Systems Consisting of n Subsystems With Different Fractional Orders

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1 Author(s)
Kaczorek, T. ; Fac. of Electr. Eng., Bialystok Univ. of Technol., Bialystok, Poland

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.

Published in:
Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:58 ,  Issue: 6 )

Date of Publication: June 2011

Page(s):
1203 - 1210
ISSN :
1549-8328
INSPEC Accession Number:
12023260
Digital Object Identifier :
10.1109/TCSI.2010.2096111
Date of Publication :
10 February 2011
Date of Current Version :
27 May 2011
Issue Date :
June 2011
Sponsored by :
IEEE Circuits and Systems Society

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