# Singular fractional linear systems and electrical circuits

International Journal of Applied Mathematics and Computer Science (2011)

- Volume: 21, Issue: 2, page 379-384
- ISSN: 1641-876X

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topTadeusz Kaczorek. "Singular fractional linear systems and electrical circuits." International Journal of Applied Mathematics and Computer Science 21.2 (2011): 379-384. <http://eudml.org/doc/208054>.

@article{TadeuszKaczorek2011,

abstract = {A new class of singular fractional linear systems and electrical circuits is introduced. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and the Laplace transformation, the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional system if it contains at least one mesh consisting of branches only with an ideal supercapacitor and voltage sources or at least one node with branches with supercoils.},

author = {Tadeusz Kaczorek},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {singular; fractional system; linear circuit; regular pencil; supercapacitor; supercoil},

language = {eng},

number = {2},

pages = {379-384},

title = {Singular fractional linear systems and electrical circuits},

url = {http://eudml.org/doc/208054},

volume = {21},

year = {2011},

}

TY - JOUR

AU - Tadeusz Kaczorek

TI - Singular fractional linear systems and electrical circuits

JO - International Journal of Applied Mathematics and Computer Science

PY - 2011

VL - 21

IS - 2

SP - 379

EP - 384

AB - A new class of singular fractional linear systems and electrical circuits is introduced. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and the Laplace transformation, the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional system if it contains at least one mesh consisting of branches only with an ideal supercapacitor and voltage sources or at least one node with branches with supercoils.

LA - eng

KW - singular; fractional system; linear circuit; regular pencil; supercapacitor; supercoil

UR - http://eudml.org/doc/208054

ER -

## References

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