Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils [PDF]
Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils are addressed.
Kaczorek Tadeusz
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Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems [PDF]
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
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Pointwise completeness and pointwise degeneracy of fractional standard and descriptor linear continuous-time systems with different fractional orders [PDF]
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
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The pointwise completeness and the pointwise degeneracy of linear discrete-time different fractional order systems [PDF]
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
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The pointwise completeness and the pointwise degeneracy of fractional descriptor discrete-time linear systems [PDF]
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
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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
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Pointwise completeness and pointwise degeneracy of fractional descriptor continuous-time linear systems with regular pencils [PDF]
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
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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
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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
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Pointwise completeness and pointwise degeneracy of standard and positive hybrid linear systems described by the general model [PDF]
Tadeusz Kaczorek
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