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Wyszukujesz frazę "system's stability" wg kryterium: Temat


Tytuł:
Analysis of positive linear continuous-time systems using the conformable derivative
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/331153.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
conformable fractional derivative
positive linear system
system stability
pochodna ułamkowa
układ liniowy dodatni
stabilność systemu
Opis:
Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and sufficient conditions for the positivity of linear systems are established. Necessary and sufficient conditions for the asymptotic stability of positive linear systems are also given. The solutions of positive fractional linear systems based on the Caputo and conformable definitions are compared.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 2; 335-340
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of fractional positive nonlinear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/229929.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
positive
fractional
nonlinear
system
stability
Opis:
The conditions for positivity and stability of a class of fractional nonlinear continuous-time systems are established. It is assumed that the nonlinear vector function is continuous, satisfies the Lipschitz condition and the linear part is described by a Metzler matrix. The stability conditions are established by the use of an extension of the Lyapunov method to fractional positive nonlinear systems.
Źródło:
Archives of Control Sciences; 2015, 25, 4; 491-496
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simple conditions for practical stability of positive fractional discrete-time linear systems
Autorzy:
Busłowicz, M.
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907662.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system liniowy
system dyskretno-czasowy
system ułamkowy
stateczność
stateczność praktyczna
linear system
positive
discrete-time
fractional
stability
practical stability
Opis:
In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 263-269
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Global stability of positive standard and fractional nonlinear feedback systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/200986.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
global stability
fractional order
positive
nonlinear system
Opis:
The global stability of positive continuous-time standard and fractional order nonlinear feedback systems is investigated. New sufficient conditions for the global stability of these classes of of positive nonlinear systems are established. The effectiveness of these new stability conditions is demonstrated on simple examples of positive nonlinear systems.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 2; 285-288
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of positive linear systems by decomposition of the state matrices into symmetrical and antisymmetrical parts
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/201771.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear
positive
system
decomposition
state matrix
stability
Opis:
The stability of positive linear continuous-time and discrete-time systems is analyzed by the use of the decomposition of the state matrices into symmetrical and antisymmetrical parts. It is shown that: 1) The state Metzler matrix of positive continuous-time linear system is Hurwitz if and only if its symmetrical part is Hurwitz; 2) The state matrix of positive linear discrete-time system is Schur if and only if its symmetrical part is Hurwitz. These results are extended to inverse matrices of the state matrices of the positive linear systems.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 4; 761-768
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inverse systems of linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/141424.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
system odwrotny
system liniowy
system dodatni
osiągalność
stabilność
inverse system
linear system
positive system
reachability
stability
Opis:
The concept of inverse systems for standard and positive linear systems is introduced. Necessary and sufficient conditions for the existence of the positive inverse system for continuous-time and discrete-time linear systems are established. It is shown that: 1) The inverse system of continuous-time linear system is asymptotically stable if and only if the standard system is asymptotically stable. 2) The inverse system of discrete-time linear system is asymptotically stable if and only if the standard system is unstable. 3) The inverse system of continuous-time and discrete-time linear systems are reachable if and only if the standard systems are reachable. The considerations are illustrated by numerical examples.
Źródło:
Archives of Electrical Engineering; 2010, 59, 3-4; 203-216
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability Tests of Positive Fractional Continuous-time Linear Systems with Delays
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/117415.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
Consequences of Delays
stability tests
Positive Fractional System
Opis:
Necessary and sufficient conditions for the asymptotic stability of positive fractional continuoustime linear systems with many delays are established. It is shown that: 1) the asymptotic stability of the positive fractional system is independent of their delays, 2) the checking of the asymptotic stability of the positive fractional systems with delays can be reduced to checking of the asymptotic stability of positive standard linear systems without delays.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2013, 7, 2; 211-215
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positivity and asymptotic stability of descriptor linear systems with regular pencils
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/229772.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
descriptor
Drazin inverse
linear
system
positivity
asymptotic stability
Opis:
The positivity and asymptotic stability of the descriptor linear continuous-time and discrete-time systems with regular pencils are addressed. Necessary and sufficient conditions for the positivity and asymptotic stability of the systems are established using the Drazin inverse matrix approach. Effectiveness of the conditions are demonstrated on numerical examples.
Źródło:
Archives of Control Sciences; 2014, 24, 2; 193-205
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simple sufficient conditions for asymptotic stability of positive linear systems for any switchings
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/201683.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
positive
linear
switched system
asymptotic stability
sufficient conditions
Opis:
The asymptotic stability of positive switched linear systems for any switchings is addressed. Simple sufficient conditions for the asymptotic stability of positive switched continuous-time and discrete-time linear systems are established. It is shown that the positive switched continuous-time (discrete-time) system is asymptotically stable for any switchings if the sum of entries of every column of the matrices of subsystems is negative (less than 1)
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 2; 343-347
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Global stability of discrete-time nonlinear systems with descriptor standard and fractional positive linear parts and scalar feedbacks
Autorzy:
Kaczorek, T.
Ruszewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/1403681.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stability
fractional
positive
nonlinear
discrete-time
feedback
system
Opis:
The global stability of discrete-time nonlinear systems with descriptor positive linear parts and positive scalar feedbacks is addressed. Sufficient conditions for the global stability of standard and fractional nonlinear systems are established. The effectiveness of these conditions is illustrated on numerical examples.
Źródło:
Archives of Control Sciences; 2020, 30, 4; 667-681
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of continuous-time and discrete-time linear systems
Autorzy:
Kaczorek, T.
Borawski, K.
Powiązania:
https://bibliotekanauki.pl/articles/114496.pdf
Data publikacji:
2016
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
Frobenius matrix
continuous-time system
discrete-time system
linear
stability
state matrix
Opis:
The inverse Frobenius matrices and the characteristic equations of the inverse systems are investigated. It is shown that the inverse system of continuous-time linear system is asymptotically stable if and only if the standard system is asymptotically stable and the inverse system of discrete-time linear system is asymptotically stable if and only if the standard system is unstable. The considerations are illustrated by numerical examples.
Źródło:
Measurement Automation Monitoring; 2016, 62, 4; 132-135
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of positive and stable fractional continuous-time linear systems by the use of Caputo Fabrizio derivative
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/205676.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
analysis
Caputo-Fabrizio definition
fractional
linear
positivity
stability
system
Opis:
Using the Caputo-Fabrizio definition of fractional order derivative, the positivity and asymptotic stability of the fractional continuous-time linear systems are investigated. The solution to the matrix fractional differential state equations is derived. Necessary and sufficient conditions for the positivity and asymptotic stability of the fractional linear systems are established. Tests for checking of the asymptotic stability of the systems are provided.
Źródło:
Control and Cybernetics; 2016, 45, 3; 289-299
0324-8569
Pojawia się w:
Control and Cybernetics
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:
Stability of interval positive continuous-time linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/201327.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
interval
positive
linear
continuous-time
system
stability
interwał
stabilność
Opis:
It is shown that the convex linear combination of the Hurwitz polynomials of positive linear systems is also the Hurwitz polynomial. The Kharitonov theorem is extended to the positive interval linear systems. It is also shown that the interval positive linear system described by state equation x ̇ = Ax, A ϵ ℜn×n, A1 ≥ A ≤ A2 is asymptotically stable if and only if the matrices Ak = 1, 2 are Hurwitz Metzler matrices.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 1; 31-35
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis and comparison of the stability of discrete-time and continuous-time linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/229420.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
analysis
comparison
stability
discrete-time
continuous-time
linear system
Opis:
The asymptotic stability of discrete-time and continuous-time linear systems described by the equations xi+1 = Ākxi and x(t) = Akx(t) for k being integers and rational numbers is addressed. Necessary and sufficient conditions for the asymptotic stability of the systems are established. It is shown that: 1) the asymptotic stability of discrete-time systems depends only on the modules of the eigenvalues of matrix Āk and of the continuous-time systems depends only on phases of the eigenvalues of the matrix Ak, 2) the discrete-time systems are asymptotically stable for all admissible values of the discretization step if and only if the continuous-time systems are asymptotically stable, 3) the upper bound of the discretization step depends on the eigenvalues of the matrix A.
Źródło:
Archives of Control Sciences; 2016, 26, 4; 551-563
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł

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