International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2013
Volume 23 - 2013

Descriptor fractional linear systems with regular pencils

Tadeusz Kaczorek

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.

descriptor system, fractional, system, regular pencil