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Descriptor fractional linear systems with regular pencils

100%

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2013

tom 23

nr 2

309-315

Methods for finding solutions of the state equations of descriptor fractional discrete-time and continuous-time linear systems with regular pencils are proposed. The derivation of the solution formulas is based on the application of the Z transform, the Laplace transform and the convolution theorems. Procedures for computation of the transition matrices are proposed. The efficiency of the proposed methods is demonstrated on simple numerical examples.

Singular fractional linear systems and electrical circuits

75%

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2011

tom 21

nr 2

379-384

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.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

2 Kaczorek T.

1 2013

1 2011

Wyniki wyszukiwania

Descriptor fractional linear systems with regular pencils

Singular fractional linear systems and electrical circuits