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

Tadeusz Kaczorek

doi:10.2478/amcs-2013-0003

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

International Journal of Applied Mathematics and Computer Science

Volume 23 (2013): Issue 1 (March 2013)

By: Tadeusz Kaczorek

Open Access

|Mar 2013

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.

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