Geodesic
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, Tome 30 (2020) no. 2, pp. 219-223.

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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 system, descriptor system
Mots-clés : zupełność punktowa, degeneracja punktowa, system ułamkowy, system deskryptorowy 
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Kaczorek, Tadeusz; Ruszewski, Andrzej. 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, Tome 30 (2020) no. 2, pp. 219-223. http://geodesic.mathdoc.fr/item/IJAMCS_2020_30_2_a1/

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