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The pointwise completeness and the pointwise degeneracy of linear discrete-time different fractional order systems [PDF]
Bulletin 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
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The pointwise completeness and the pointwise degeneracy of fractional descriptor discrete-time linear systems [PDF]
Bulletin 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
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Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils [PDF]
International 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
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BranchMatch: point cloud registration for individual apple trees with limited overlap based on local structure characteristics [PDF]
Frontiers in Plant SciencePoint cloud registration is a critical technology for 3D reconstruction and personalized management of fruit trees. While ensuring the accuracy and completeness of 3D point cloud reconstruction, the simplest and most efficient approach is to acquire and ...
Ning Wang +17 more
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Compact and Interpretable Neural Networks Using Lehmer Activation Units [PDF]
EntropyWe introduce Lehmer Activation Units (LAUs), a class of aggregation-based neural activations derived from the Lehmer transform that unify feature weighting and nonlinearity within a single differentiable operator.
Masoud Ataei +2 more
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International 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
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International 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
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On the pointwise completeness of differential-difference equations
Journal of Differential Equations, 1972 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/34012/1/0000287 ...
Zmood, Ronald Barry +1 more
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Journal 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
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Pointwise completeness of differential-difference equations
Rocky Mountain Journal of Mathematics, 1973 Klaus Schmitt
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