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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