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Paper details
Number 2 - June 2020
Volume 30 - 2020
Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous-time systems
Tadeusz Kaczorek, Andrzej Ruszewski
Abstract
The Drazin inverse of matrices is applied to the analysis of pointwise completeness and pointwise degeneracy of fractional
descriptor linear continuous-time systems. It is shown that (i) descriptor linear continuous-time systems are pointwise complete if and only if the initial and final states belong to the same subspace, and (ii) fractional descriptor linear continuous-time systems are not pointwise degenerated in any nonzero direction for all nonzero initial conditions. The discussion is
illustrated with examples of descriptor linear electrical circuits.
Keywords
pointwise completeness, pointwise degeneracy, fractional systems, descriptor systems