Creator:

Kaczorek, Tadeusz (1932- )

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Singular fractional linear systems and electrical circuits

Group publication title:

AMCS, Volume 21 (2011)

Subject and Keywords:

singular ; fractional systems ; linear circuit ; regular pencil ; supercapacitor ; supercoil

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2011

Resource Type:

artykuł

DOI:

10.2478/v10006-011-0028-8

Pages:

379-384

Source:

AMCS, Volume 21, Number 2 (2011) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego