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Tytuł:
Superstabilization of positive linear electrical circuit by state-feedbacks
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/201246.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
positive
electrical circuit
superstability
state-feedback
pozytywny
obwód elektryczny
superstabilność
informacja zwrotna
Opis:
The concept of superstability of positive linear electrical circuits is introduced and its properties are characterized. The superstabilization of positive and nonpositive electrical circuits by state-feedbacks is analyzed.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 5; 703-708
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Specific duality and stability of positive electrical circuits
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/140721.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
duality
positive
electrical circuit
linear
stability
Opis:
The specific duality and asymptotic stability of the positive linear electrical circuits are addressed. The specific duality of positive linear electrical circuits composed of resistances, inductances, capacitances and source voltages is established. 1) The linear electrical circuits are positive if and only if the common branches between meshes with resistances and inductances and meshes with resistances and capacitances contain only source voltages; 2) In linear electrical circuits the interchanges of the inductances by the capacitances and the capacitances by inductances do not change the asymptotic stability of the electrical circuits. The asymptotic stability of the positive and nonpositive electrical circuits is analyzed.
Źródło:
Archives of Electrical Engineering; 2017, 66, 4; 663-679
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive linear systems with different fractional orders
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/200652.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
positive
fractional order
linear
solution electrical circuit
Opis:
A new class of positive linear systems with different fractional orders is introduced. A solution to the set of linear differential equations with different fractional orders is derived Necessary and sufficient conditions for the positivity of the fractional systems are established. It is shown that the linear electrical circuits composed of resistors, supercondensators, coils and voltage (current) sources are positive systems with different fractional orders.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2010, 58, 3; 453-458
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive and stable electrical circuits with state-feedbacks
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/141572.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
positivity
stability
linear
electrical circuit
state-feedback
Opis:
The analysis of the positivity and stability of linear electrical circuits by the use of state-feedbacks is addressed. Generalized Frobenius matrices are proposed and their properties are investigated. It is shown that if the state matrix of an electrical circuit has generalized Frobenius form then the closed-loop system matrix is not positive and asymptotically stable. Different cases of modification of the positivity and stability of linear electrical circuits by state-feedbacks are discussed and necessary conditions for the existence of solutions to the problem are established.
Źródło:
Archives of Electrical Engineering; 2018, 67, 3; 563--578
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Characteristic equations of the standard and descriptor linear electrical circuits
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/376507.pdf
Data publikacji:
2017
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
computation
characteristic equation
standard
descriptor
linear
electrical circuit
Opis:
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.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2017, 89; 11-23
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive electrical circuits and their reachability
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/141072.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
dodatniość
obwód liniowy
obwód elektryczny
osiągalność
positivity
electrical linear circuit
conditions
reachability
Opis:
Conditions for the positivity of linear electrical circuits composed of resistances, coils, capacitors and voltage (current) sources are established. It is shown that: 1) the electrical circuit composed of resistors, coils and voltage source is positive for any values of their resistances, inductances and source voltages if and only if the number of coils is less or equal to the number of its linearly independent meshes, 2) the electrical circuit is not positive for any values of its resistances, capacitances and source voltages if each its branch contains resistor, capacitor and voltage source, 3) the positive n-meshes electrical circuit with only one inductance in each linearly independent mesh is reachable if all resistances of branches belonging to two linearly independent meshes are zero.
Źródło:
Archives of Electrical Engineering; 2011, 60, 3; 283-301
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive electrical circuits with zero transfer matrices and their discretization
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/97201.pdf
Data publikacji:
2016
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
positive electrical circuit
reachability
observability
stability
discretization
transfer matrix
Opis:
Positive continuous–time and discrete–time linear electrical circuits with zero transfer matrices are addressed. It is shown that there exists a large class of positive electrical circuits with zero transfer matrices. The electrical circuits are unreachable, unobservable and unstable for all values of the resistances, inductances and capacitances. The discrete–time linear positive electrical circuits are introduced. It is shown that: 1) the discrete–time electrical circuit is asymptotically stable for all values of the discretization step if and only if the corresponding continuous–time electrical circuit is asymptotically stable; 2) the discretization of the continuous–time electrical circuit does not change their reachability, observability and transfer matrices.
Źródło:
Computer Applications in Electrical Engineering; 2016, 14; 1-13
1508-4248
Pojawia się w:
Computer Applications in Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of the positivity and stability of linear electrical circuits with state-feedbacks
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/377717.pdf
Data publikacji:
2018
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
positivity
stability
linear
electrical circuit
state-feedback
Opis:
The analysis of the positivity and stability of linear electrical circuits by the use of state-feedbacks is addressed. Generalized Frobenius matrices are proposed and their properties are investigated. It is shown that if the state matrix of electrical circuit has generalized Frobenius form then the closed-loop system matrix is not positive and asymptotically stable. Different cases of modification of the positivity and stability of linear electrical circuits by state-feedbacks are discussed and necessary conditions for the existence of solutions to the problem are established.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2018, 93; 21-36
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zeroing of state variables in fractional descriptor electrical circuits by state-feedbacks
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/140553.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional
descriptor
linear
electrical circuit
state-feedbacks
zeroing
Opis:
The problem of zeroing of the state variables in fractional descriptor electrical circuits by state-feedbacks is formulated and solved. Necessary and sufficient conditions for the existence of gain matrices such that the state variables of closed-loop systems are zero for time greater zero are established. The procedure of choice of the gain matrices is demonstrated on simple descriptor electrical circuits with regular pencils.
Źródło:
Archives of Electrical Engineering; 2014, 63, 3; 321-333
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Singular fractional linear systems and electrical circuits
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907789.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system ułamkowy
układ liniowy
superkondensator
singular
fractional system
linear circuit
regular pencil
supercapacitor
supercoil
Opis:
A new class of singular fractional linear systems and electrical circuits is introduced. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and the Laplace transformation, the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional system if it contains at least one mesh consisting of branches only with an ideal supercapacitor and voltage sources or at least one node with branches with supercoils.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 2; 379-384
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive and stable time-varying continous-time linear systems and electrical circuits
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/377577.pdf
Data publikacji:
2015
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
positive
linear
time-varying
system
electrical circuit
stability
test
Opis:
The positivity and stability of a class of time-varying continuous-time linear systems and electrical circuits are addressed. Sufficient conditions for the positivity and asymptotic stability of the system are established. It is shown that there exists a large class of positive and asymptotically stable electrical circuits with time-varying parameters. Examples of positive electrical circuits are presented.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2015, 81; 11-19
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Characteristic equations of the standard and descriptor linear electrical circuits of integer and fractional orders
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/386767.pdf
Data publikacji:
2018
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
characteristic equation
standard
descriptor
fractional
linear
electrical circuit
Opis:
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.
Źródło:
Acta Mechanica et Automatica; 2018, 12, 3; 209-216
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive time-varying continuous-time linear systems and electrical circuits
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/200313.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear
time-varying system
electrical circuit
stability test
system
test stabilności
obwód elektryczny
liniowość
Opis:
The positivity of time-varying continuous-time linear systems and electrical circuits are addressed. Necessary and sufficient conditions for the positivity of the systems and electrical circuits are established. It is shown that there exists a large class of positive electrical circuits with time-varying parameters. Examples of positive electrical circuits are presented.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2015, 63, 4; 837-842
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reduction of linear electrical circuits with complex eigenvalues to linear electrical circuits with real eigenvalues
Autorzy:
Kaczorek, T.
Borawski, K.
Powiązania:
https://bibliotekanauki.pl/articles/114258.pdf
Data publikacji:
2015
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
linear
electrical circuit
complex
real
eigenvalues
transformation matrix
Opis:
The problem of reduction of linear electrical circuits with complex eigenvalues to linear electrical circuits with real eigenvalues is analyzed. Methods for finding the transformation matrix are presented. Considerations are illustrated by numerical examples.
Źródło:
Measurement Automation Monitoring; 2015, 61, 4; 115-117
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of positivity and stability of time-varying continuous-time linear systems and electrical circuits
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/97265.pdf
Data publikacji:
2015
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
positive
linear
time-varying
system
electrical circuit
stability
Lyapunov method
test
Opis:
The positivity and stability of a class of time-varying continuous-time linear systems and electrical circuits are addressed. Sufficient conditions for the positivity and asymptotic stability of the system are established. It is shown that there exists a large class of positive and asymptotically stable electrical circuits with time-varying parameters. The Lyapunov method is extended to positive nonlinear systems. Examples of positive electrical circuits are presented.
Źródło:
Computer Applications in Electrical Engineering; 2015, 13; 1-18
1508-4248
Pojawia się w:
Computer Applications in Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł

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