International Journal of applied mathematics and computer science

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Paper details

Number 1 - March 2013
Volume 23 - 2013

Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils

Tadeusz Kaczorek

Abstract
The Drazin inverse of matrices is applied to find the solutions of the state equations of descriptor fractional discrete-time systems with regular pencils. An equality defining the set of admissible initial conditions for given inputs is derived. The proposed method is illustrated by a numerical example.

Keywords
Drazin inverse, descriptor, fractional system, discrete-time system, linear system

DOI
10.2478/amcs-2013-0003