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  1. 14 Bulletin of the Polish Academy of Sciences. Technical Sciences
  2. 10 Archives of Control Sciences
  3. 5 Przegląd Elektrotechniczny
  4. 3 Journal of Automation, Electronics and Electrical Engineering
  5. 3 PAK
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  1. 35 Kaczorek T.
  2. 8 Kaczorek Tadeusz
  3. 3 Borawski K.
  4. 2 Borawski Kamil
  5. 2 Chechliński Ł.
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  1. 3 2023
  2. 4 2022
  3. 1 2021
  4. 3 2019
  5. 6 2018
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1
Content available Analysis of the pointwise completeness and the pointwise degeneracy of the standard and fractional descriptor linear systems and electrical circuits
Kaczorek Tadeusz
Journal of Automation, Electronics and Electrical Engineering
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2023
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Vol. 5, No. 1
8--19
EN
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 same subspace. 2) The descriptor linear discrete-time system is not pointwise complete if its system matrix is singular. 3) System obtained by discretization of continuous-time system is always not pointwise complete. 4) The descriptor linear continuous-time system is not pointwise degenerated in any nonzero direction for all nonzero initial conditions. 5) The descriptor fractional system is pointwise complete if the matrix defined by (36) is invertible. 6) The descriptor fractional system is pointwise degenerated if and only if the condition (41) is satisfied. Considerations are illustrated by examples of descriptor linear electrical circuits.
2
Content available Eigenvalues assignment in descriptor linear systems by state and its derivative feedbacks
Kaczorek Tadeusz
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2023
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Vol. 71, nr 5
art. no. e145765
EN
The eigenvalues assignment problems for descriptor linear systems with state and its derivative feedbacks are considered herein. Necessary and sufficient conditions for the existence of solutions to the problems are established. The Euler and Tustin approximations of the continuous-time systems are analyzed. Procedures for computation of the feedbacks are given and illustrated by numerical examples.
3
Content available New stability tests for fractional positive descriptor linear systems
Kaczorek Tadeusz, Ruszewski Andrzej
Archives of Control Sciences
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2023
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Vol. 33, No. 1
71--81
EN
The asymptotic stability of fractional positive descriptor continuous-time and discrete-time linear systems is considered. New sufficient conditions for stability of fractional positive descriptor linear systems are established. The efficiency of the new stability conditions are demonstrated on numerical examples of fractional continuous-time and discrete-time linear systems.
4
Content available Some analysis problems of the linear systems
Kaczorek Tadeusz
Journal of Automation, Electronics and Electrical Engineering
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2022
|
Vol. 4, No. 2
7--12
EN
New approaches to the transformations of the uncontrollable and unobservable matrices of linear systems to their canonical forms are proposed. It is shown that the uncontrollable pair (A,B) and unobservable pair (A,C) of linear systems can be transform to their controllable (𝐴̅ , 𝐵̅ ) and observable (𝐴̅ , 𝐶̅ ) canonical forms by suitable choice of nonsingular matrix M satisfying the condition 𝑀[𝐴 𝐵] = [𝐴̅ 𝐵̅ ] and [𝐴 𝐵]𝑀 = [𝐴̂ 𝐵̂ ], respectively. It is also shown that by suitable choice of the gain matrix K of the feedbacks of the derivative of the state vector it is possible to reduce the descriptor system to the standard one.
PL
Zaproponowano nowe podejścia do transformacji niesterowalnych i nieobserwowalnych macierzy układów liniowych do ich postaci kanonicznych. Wykazano, że niesterowalna para (A,B) i nieobserwowalna para (A,C) układów liniowych może być przekształcona do ich postaci kanonicznych sterowalnych i obserwowalnych prze odpowiedni dobór nieosobliwej macierzy M spełniającej warunki 𝑀[𝐴 𝐵] = [𝐴̅ 𝐵̅ ] i [𝐴 𝐵]𝑀 = [𝐴̂ 𝐵̂ ]. Pokazano,żeprzezodpowiednidobórmacierzyKsprzężeniazwrotnego od pochodnej wektora stanu jest możliwa redukcja układu deskryptorowegodoukładustandardowego.
5
Content available Shuffle algorithm for fractional descriptor Roesser type continuous-time linear systems
Kaczorek Tadeusz, Sajewski Łukasz
Journal of Automation, Electronics and Electrical Engineering
|
2022
|
Vol. 4, No. 1
7--12
EN
The shuffle algorithm is applied to analysis of the fractional descriptor Roesser type continuous-time linear systems. Using the shuffle algorithm the fractional descriptor linear system is reduced to the equivalent standard system and the system is decomposed into dynamic and static parts. Procedure for computation of the matrices of equivalent standard system and of the dynamical and static parts of the system is proposed.
PL
Algorytm przesuwania jest stosowany do analizy ułamkowych deskryptorowych układów liniowych ciągłych typu Roesser. Stosując algorytm przesuwania, liniowy układ deskryptorowy niecałkowitego rzędu jest redukowany do równoważnego układu standardowego, oraz jest rozkładany na część dynamiczną i statyczną. Zaproponowano procedurę obliczania macierzy równoważnego układu standardowego oraz metodę obliczania części dynamicznej i statycznej.
6
Content available Positivity and cyclicity of descriptor electrical circuits with chain structure
Kaczorek Tadeusz, Borawski Kamil
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2022
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Vol. 70, nr 1
art. no. e139955
EN
The positivity and cyclicity of descriptor linear electrical circuits with chain structure is considered. Two classes of descriptor linear electrical circuits are analyzed. Some new properties of these classes of electrical circuits are established. The results are extended to fractional descriptor linear electrical circuits.
7
Content available New stability tests for positive descriptor linear systems
Kaczorek Tadeusz
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2022
|
Vol. 70, nr 3
art. no. e140688
EN
The asymptotic stability of positive descriptor continuous-time and discrete-time linear systems is considered. New sufficient conditions for stability of positive descriptor linear systems are established. The efficiency of the new stability conditions are demonstrated on numerical examples of continuous-time and discrete-time linear systems.
8
Content available Structurally R-controllable and structurally R-observable descriptor linear electrical circuits
Kaczorek Tadeusz, Borawski Kamil
Journal of Automation Mobile Robotics and Intelligent Systems
|
2021
|
Vol. 15, No. 3
81--86
EN
Structurally R-controllable and structurally R-observable descriptor linear electrical circuits are investigated. Sufficient conditions are given under which the R- controllability and R-observability of descriptor linear electrical circuits are independent of their parameters.
9
Content available Ekstrakcja parametrów z próbek danych biometrycznych
Danek Paweł, Ćwirta Krzysztof, Kopniak Piotr
Journal of Computer Sciences Institute
|
2019
|
Vol. 13
323--331
PL
W artykule opisano możliwe sposoby ekstrakcji parametrów z próbek danych biometrycznych, takich jak odcisk palca czy nagranie głosu. Zweryfikowano wpływ konkretnych sposobów obróbki na skuteczność algorytmów obróbki próbek biometrycznych oraz ich porównania. Wykonano badania polegające na przetworzeniu dużej liczby próbek z użyciem wybranych algorytmów. W przypadku odcisku palca wykorzystano normalizację obrazu, filtr Gabora i porównanie z użyciem deskryptorów. Dla autoryzacji głosowej analizowano algorytmy LPC i MFCC. W przypadku obu rodzajów autoryzacji uzyskano zadowalającą skuteczność rzędu 60-80%.
EN
This article describes possible ways to extract parameters from biometric data samples, such as fingerprint or voice recording. Influence of particular approaches to biometric sample preparation and comparision algorithms accuracy was verified. Experiment involving processing big ammount of samples with usage of particular algorithms was performed. In fingerprint detection case the image normalization, Gabor filtering and comparision method based on descriptors were used. For voice authorization LPC and MFCC alghoritms were used. In both cases satisfying accuracy (60-80%) was the result of the surveys.
10
Content available The pointwise completeness and the pointwise degeneracy of fractional descriptor discrete-time linear systems
Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2019
|
Vol. 67, nr 6
989--993
EN
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. Necessary and sufficient conditions for the pointwise completeness and the pointwise degeneracy of the fractional descriptor linear discrete-time systems are established. It is shown that every fractional descriptor linear discrete-time systems is not pointwise complete and it is pointwise degenerated in one step (for i= 1).
11
Content available Positivity of fractional descriptor linear continuous-time systems
Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2019
|
Vol. 67, nr 2
229--233
EN
The positivity of fractional descriptor linear continuous-time systems is investigated. The solution to the state equation of the systems is derived. Necessary and sufficient conditions for the positivity of fractional descriptor linear continuous-time systems are established. The considerations are illustrated by numerical examples.
12
Content available remote Comparison of selected methods of characteristic point detection in satellite images
Kulawik J.
Przegląd Elektrotechniczny
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2018
|
R. 94, nr 1
139--143
EN
The article presents two methods of detecting objects in images of the surface of the earth from the air. The search was performed using local characteristic features, i.e. key points. In the first method, the corner detection was supplied using the Harris & Stephens algorithm. The descriptors were built for detection key points by the FREAK algorithm. In the second method the blobs were provided by the SURF algorithm. The descriptors were built by the SURF algorithm. After the usage of the above methods, a comparison was made. The obtained results were shown on the example images.
PL
W artykule przedstawiono dwa przykłady detekcji obiektów w zdjęciach powierzchni ziemi z powietrza. Wyszukiwanie wykonano przy użyciu cech charakterystycznych. W pierwszym przykładzie dokonano detekcji narożników przy użyciu algorytmu Harris & Stephens. Następnie zbudowano deskryptory do znalezionych punktów kluczowych w oparciu o algorytm FREAK. W drugim przykładzie zastosowano metodę SURF do odnalezienia plamek i zbudowania ich deskryptorów. Po użyciu powyższych metod dokonano porównania. Uzyskane wyniki zaprezentowano na przykładowych zdjęciach.
13
Content available Development of a Reverse-search System of Similar or Identical Images
Veres O., Kis Ya., Kugivchak V., Rishniak I.
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
|
2018
|
Vol. 7, No 2
23--30
EN
The article describes the research of image analysis methods. The methods of indexing images for the search of duplicate images, as well as methods for finding similar images based on the definition of key points are described. The prototype of the system was created, and testing of the described methods was carried out. The result of the analysis became the basis for the information system project of reverse search of similar or identical images.
14
Content available Hand posture recognition using modified ensemble of shape functions and global radius-based surface descriptor
Warchoł D.
Computer Science
|
2018
|
Vol. 19 (2)
115--137
EN
This paper presents an approach to the recognition of static hand gestures based on data acquired from 3D cameras and point cloud descriptors: Ensemble of Shape Functions and Global Radius-based Surface Descriptor. We describe a recognition algorithm consisting of hand segmentation, noise removal and downsampling of point clouds, dividing point cloud bounding boxes to cells, feature extraction and normalization, and gesture classification. Modifications to the descriptors are proposed in order to increase the hand posture recognition rates while decreasing the quantity of used features as well as the computational cost of the algorithm. Experiments performed on four challenging datasets using cross-validation tests prove the usefulness of our approach.
15
Content available Computation of positive realizations for descriptor linear continuoustime systems
Kaczorek T.
Autobusy : technika, eksploatacja, systemy transportowe
|
2018
|
R. 19, nr 12
428--432
EN
A new method for computation of positive realizations of given transfer matrices of descriptor linear continuous-time linear systems is proposed. Necessary and sufficient conditions for the existence of positive realizations of transfer matrices are given. A procedure for computation of the positive realizations is proposed and illustrated by examples.
PL
W pracy podano nową metodę wyznaczania dodatnich realizacji dla zadanych macierzy transmitacji operatorowych deskryptowych( singularnych) ciągłych układów liniowych. Sformułowano warunki konieczne i wystarczające istnienia dodatnich realizacji dla tej klasy deskryptowych ciągłych układów liniowych. Podano procedurę wyznaczania tych realizacji. Procedura ta została zlustrowana przykładami liczbowymi.
16
Content available An extension of Klamka’s method to positive descriptor discrete-time linear systems with bounded inputs
Kaczorek T.
Archives of Control Sciences
|
2018
|
Vol. 28, No. 2
255--268
EN
The minimum energy control problem for the positive descriptor discrete-time linear systems with bounded inputs by the use of Weierstrass-Kronecker decomposition is formulated and solved. Necessary and sufficient conditions for the positivity and reachability of descriptor discrete-time linear systems are given. Conditions for the existence of solution and procedure for computation of optimal input and the minimal value of the performance index is proposed and illustrated by a numerical example.
17
Content available Characteristic equations of the standard and descriptor linear electrical circuits of integer and fractional orders
Kaczorek T.
Acta Mechanica et Automatica
|
2018
|
Vol. 12, no. 3
209--216
EN
The problem of calculation of the characteristic equations of the standard and descriptor linear electrical circuits of integer and fractional orders is addressed. It is shown that the characteristic equations of standard and descriptor linear electrical circuits are independent of the method used in their analysis: the state space method, the mesh method and the node method. The considerations are illustrated by examples of standard and fractional linear electrical circuits.
18
Content available remote Modification of the stability and positivity of standard and descriptor linear electrical circuits by state feedbacks
Borawski K.
Przegląd Elektrotechniczny
|
2017
|
R. 93, nr 11
176--180
EN
The modification of the stability and positivity of standard and descriptor linear electrical circuits by state feedbacks is investigated. It is shown that: 1) There is a class of nonpositive and unstable R, L, e circuits that can be stabilized and modified to positive ones by state feedback; 2) There is a class of nonpositive and stable R, L, e circuits that can be modified by state feedback to positive ones without loss of stability. The modification of stability and positivity of linear descriptor electrical circuits is addressed. Considerations are illustrated by examples of linear electrical circuits.
PL
W pracy rozpatrzono problem modyfikacji stabilności i dodatniości standardowych i deskryptorowych liniowych obwodów elektrycznych poprzez sprzężenie zwrotne od wektora stanu. Pokazano, że: 1) Istnieje klasa niedodatnich i niestabilnych obwodów typu R, L, e, które mogą zostać ustabilizowane i zmodyfikowane do obwodów dodatnich; 2) Istnieje klasa niedodatnich i stabilnych obwodów typu R, L, e, które mogą zostać zmodyfikowane do obwodów dodatnich bez utraty stabilności. Rozpatrywany problem uogólniono dla klasy układów deskryptorowych. Rozważania zilustrowano przykładami obwodów elektrycznych.
19
Content available Characteristic equations of the standard and descriptor linear electrical circuits
Kaczorek T.
Poznan University of Technology Academic Journals. Electrical Engineering
|
2017
|
No. 89
11--23
EN
The problem of calculation of the characteristic equations of the standard and descriptor linear electrical circuits is addressed. It is shown that the characteristic equation of the linear electrical circuit is independent of the method used for its analysis. The well-known three methods: the state space method, the mesh method and the node method are analyzed.
20
Content available Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller
Sajewski Ł.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2017
|
Vol. 65, nr 5
709--714
EN
Positive descriptor fractional discrete-time linear systems with fractional different orders are addressed in the paper. The decomposition of the regular pencil is used to extend necessary and sufficient conditions for positivity of the descriptor fractional discrete-time linear system with different fractional orders. A method for finding the decentralized controller for the class of positive systems is proposed and its effectiveness is demonstrated on a numerical example.
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