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Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils [PDF]

open access: goldInternational Journal of Applied Mathematics and Computer Science, 2015
Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils are addressed.
Kaczorek Tadeusz
doaj   +7 more sources

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

open access: goldInternational Journal of Applied Mathematics and Computer Science, 2020
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
Kaczorek Tadeusz, Ruszewski Andrzej
doaj   +3 more sources

Pointwise completeness and pointwise degeneracy of fractional standard and descriptor linear continuous-time systems with different fractional orders [PDF]

open access: goldInternational Journal of Applied Mathematics and Computer Science, 2020
Descriptor and standard linear continuous-time systems with different fractional orders are investigated. Descriptor systems are analyzed making use of the Drazin matrix inverse.
Kaczorek Tadeusz, Sajewski Łukasz
doaj   +4 more sources

The pointwise completeness and the pointwise degeneracy of linear discrete-time different fractional order systems [PDF]

open access: goldBulletin of the Polish Academy of Sciences: Technical Sciences, 2020
Necessary and sufficient conditions for the pointwise completeness and the pointwise degeneracy of linear discrete-time different fractional order systems are established. It is shown that if the fractional system is pointwise complete in one step (q = 1)
T. Kaczorek, Ł. Sajewski
doaj   +4 more sources

The pointwise completeness and the pointwise degeneracy of fractional descriptor discrete-time linear systems [PDF]

open access: goldBulletin of the Polish Academy of Sciences: Technical Sciences, 2019
The Drazin inverse of matrices is applied to analysis of the pointwise completeness and of the pointwise degeneracy of the fractional descriptor linear discrete-time systems.
T. Kaczorek
doaj   +4 more sources

Pointwise completeness and degeneracy of functional differential equations in Banach spaces. I. General time delays

open access: closedJournal of Mathematical Analysis and Applications, 1987
The author studies the poinwise completeness and degeneracy for functional differential equations of the type \[ x'(t)=A_ 0x(t)+\sum^{m}_{i=1}A_ ix(t-h_ i)+\int^{0}_{- h}B(s)x(t+s)ds+f(t), \] \(t\geq 0\); \(x(0)=g^ 0\); \(x(s)=g(s ...
Shin-ichi Nakagiri
exaly   +5 more sources

Pointwise completeness and pointwise degeneracy of fractional descriptor continuous-time linear systems with regular pencils [PDF]

open access: goldBulletin of the Polish Academy of Sciences Technical Sciences, 2015
Abstract Pointwise completeness and pointwise degeneracy of the fractional descriptor continuous-time linear systems with regular pencils are addressed. Conditions for the pointwise completeness and pointwise degeneracy of the systems are established and illustrated by an example.
Tadeusz Kaczorek
openaire   +2 more sources

Analysis of the pointwise completeness and the pointwise degeneracy of the standard and fractional descriptor linear systems and electrical circuits

open access: diamondJournal of Automation, Electronics and Electrical Engineering, 2023
The Drazin inverse of matrices is applied to analysis of the pointwise completeness and the pointwise degeneracy of the descriptor  standard and fractional linear continuous-time and discrete-time systems. It is shown that: 1) The descriptor linear continuous-time system is pointwise complete if and only if the initial and final states belong to the ...
Tadeusz Kaczorek
openaire   +3 more sources

Pointwise Completeness and Pointwise Degeneracy of Descriptor Linear Discrete-Time Systems with Different Fractional Orders

open access: diamondActa Mechanica et Automatica
Abstract The solution to the system of equations of the descriptor linear discrete-time with different fractional orders is derived by the use of the Drazin inverse of matrices. This solution is applied to analysis of the pointwise completeness and the pointwise degeneracy of the descriptor discrete-time linear systems with different ...
Tadeusz Kaczorek
openaire   +2 more sources

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