<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 continuoustime 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.</p></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 continuoustime 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.

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

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The Drazin inverse of matrices is applied to the analysis of pointwise completeness and pointwise degeneracy of fractional descriptor linear continuous-time...

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

Published Online: Jul 04, 2020

Page range: 219 - 223

Received: Jun 19, 2019

Accepted: Mar 19, 2020

DOI: https://doi.org/10.34768/amcs-2020-0017

Keywords
pointwise completeness, pointwise degeneracy, fractional systems, descriptor systems

© 2020 Tadeusz Kaczorek et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Jul 04, 2020

Page range: 219 - 223

Received: Jun 19, 2019

Accepted: Mar 19, 2020

DOI: https://doi.org/10.34768/amcs-2020-0017

Keywordspointwise completeness, pointwise degeneracy, fractional systems, descriptor systems

© 2020 Tadeusz Kaczorek et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
pointwise completeness, pointwise degeneracy, fractional systems, descriptor systems