Creator:

Kaczorek, Tadeusz (1932- ) ; Ruszewski, Andrzej

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous-time systems

Group publication title:

AMCS, volume 30 (2020)

Subject and Keywords:

pointwise completeness ; pointwise degeneracy ; fractional systems ; descriptor systems

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2020

Resource Type:

artykuł

DOI:

10.34768/amcs-2020-0017

Pages:

219-223

Source:

AMCS, volume 30, number 2 (2020) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego