DocumentCode :
1447579
Title :
Positive Linear Systems Consisting of 
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 :
