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Wyszukujesz frazę "Lyapunov system" wg kryterium: Temat


Tytuł:
Positivity and stability of fractional 2D Lyapunov systems described by the Roesser model
Autorzy:
Rogowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/202275.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
positive system
stability
fractional 2D system
Lyapunov system
Roesser model
Opis:
A new class of fractional 2D Lyapunov systems described by the Roesser models is introduced. Necessary and sufficient conditions for the positivity and asymptotic stability of the new class of systems are established. It is shown that the checking of the asymptotic stability of positive 2D fractional Lyapunov systems can be reduced to testing the asymptotic stability of corresponding positive standard 1D discretetime systems. The considerations are illustrated by a numerical example.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 2; 195-200
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov matrices approach to the parametric optimization of a neutral system
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229256.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
neutral system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the initial function of the neutral system. The Lyapunov functional is determined by means of the Lyapunov matrix.
Źródło:
Archives of Control Sciences; 2016, 26, 1; 81-93
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov matrices approach to the parametric optimization of a system with two delays and a PD-controller
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229274.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
neutral system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper the parametric optimization problem for a linear system with two delays and a PD-controller is presented. In the parametric optimization problem the quadratic performance index is considered. The value of the quadratic index of quality is calculated due to the Lyapunov functional and is equal to the value of that functional for the initial function of the neutral system with two delays. The Lyapunov functional is determined by means of the Lyapunov matrix.
Źródło:
Archives of Control Sciences; 2018, 28, 4; 585-600
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov matrices approach to the parametric optimization of time-delay systems
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229179.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-delay system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper a Lyapunov matrices approach to the parametric optimization problem of timedelay systems with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the initial function of the time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix.
Źródło:
Archives of Control Sciences; 2015, 25, 3; 279-288
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Lyapunov functional for a system with both lumped and distributed delay
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229640.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-delay system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper construction of a Lyapunov functional for time delay system with both lumped and distributed delay is presented. The Lyapunov functional is determined by means of the Lyapunov matrix. The method of determination of the Lyapunov matrix for time delay system with both lumped and distributed delay is presented. It is given the example illustrating the method.
Źródło:
Archives of Control Sciences; 2017, 27, 4; 527-540
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The parametric optimization of a system with two delays and a PI controller
Autorzy:
Duda, Jozef
Powiązania:
https://bibliotekanauki.pl/articles/229717.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-delay system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper a Lyapunov matrices approach to the parametric optimization problem of a time-delay system with two commensurate delays and a PI-controller is presented. The value of integral quadratic performance index is equal to the value of the Lyapunov functional for the initial function of the time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix. In the paper is presented the example of a scalar system with two delays and a PI controller.
Źródło:
Archives of Control Sciences; 2019, 29, 4; 667-686
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229975.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-delay system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with two commensurate delays and a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of the Lyapunov functional for the initial function of time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix.
Źródło:
Archives of Control Sciences; 2016, 26, 3; 367-381
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov functional for a linear system with both lumped and distributed delay
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/205647.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Lyapunov functional
time delay system
LTI system
Opis:
The paper presents a method of determining the Lyapunov quadratic functional for linear tirne-invariant system with both lumped and distributed delay. The Lyapunov functional is constructed for its given time derivative, which is calculated on the trajectory of the system with both lumped and distributed delay. The method presented gives analytical formulas for the coefficients of the Lyapunov functional.
Źródło:
Control and Cybernetics; 2011, 40, 1; 73-90
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov functional for a linear system with two delays
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/969912.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Lyapunov functional
time delay system
LTI system
Opis:
The paper presents a method of determining the Lyapunov functional for linear time-invariant LTI system with two lumped delays.
Źródło:
Control and Cybernetics; 2010, 39, 3; 797-809
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov functional for a linear system with two delays both retarded and neutral type
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229843.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Lyapunov functional
time delay system
LTI system
Opis:
The paper presents a method of determining of the Lyapunov quadratic functional for linear time-invariant system with two delays both retarded and neutral type. The Lyapunov functional is constructed for a given its time derivative which is calculated on the trajectory of the system with two delays both retarded and neutral type. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.
Źródło:
Archives of Control Sciences; 2010, 20, 1; 89-98
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the stability of continuous-time positive switched systems with rank one difference
Autorzy:
Fornasini, E.
Valcher, M. E.
Powiązania:
https://bibliotekanauki.pl/articles/971053.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
switched system
positive linear system
asymptotic stability
linear copositive Lyapunov function quadratic Lyapunov function
Opis:
Continuous-time positive systems, switching among p subsystems whose matrices differ by a rank one matrix, are introduced, and a complete characterization of the existence of a common linear copositive Lyapunov function for all the subsystems is provided. Also, for this class of systems it is proved that a well-known necessary condition for asymptotic stability, namely the fact that All convex combinations of the system matrices are Hurwitz, becomes equivalent to the generally weaker condition that the systems matrices are Hurwitz. In the special case of two-dimensional systems, this allows for drawing a complete characterization of asymptotic stability. Finally, the case when there are only two subsystems, possibly with commuting matrices, is investigated.
Źródło:
Control and Cybernetics; 2013, 42, 1; 47-62
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov functional for a system with k-non-commensurate neutral time delays
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/970175.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Lyapunov functional
time delay system
neutral system
LTI system
Opis:
The paper presents a method of determining the Lyapunov quadratic functional for linear time-invariant system with k-non-commensurate neutral type time delays. The Lyapunov functional is constructed for its given time derivative, which is calculated on the trajectory of the system with k-non-commensurate neutral type time delays. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.
Źródło:
Control and Cybernetics; 2010, 39, 4; 1173-1184
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fault detection based on Lyapunov exponents estimation for stabilized mechanical systems
Autorzy:
Puzyrov, Volodymyr
Acho, Leonardo
Pujol, Gisela
Rodellar, José
Powiązania:
https://bibliotekanauki.pl/articles/281447.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
fault detection
switched system
Lyapunov characteristic exponent
underactuated system
Opis:
We study a stabilizable mechanical system in the vicinity of an equilibrium position. This position, as a rule, is unstable, and the system is underactuated. It is assumed that faults affect the technical process and its control. We suggest a fault diagnosis technique based on estimation of Lyapunov characteristic exponents of measured variables. A model of a linear switching system is involved for the system with faults description, and a common quadratic Lyapunov function is used to evaluate the deviation of the maximum exponent with respect to the default system. A scheme of fault magnitude estimation is suggested related to the degree of this deviation. An example of a 2-degree of freedom system is presented to illustrate the procedure.
Źródło:
Journal of Theoretical and Applied Mechanics; 2019, 57, 2; 519-531
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Parametric optimization of a neutral system with two delays and PD-controller
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229662.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
parametric optimization
Lyapunov functional
time delay system
neutral system
Opis:
In this paper a parametric optimization problem for a linear neutral system with two delays with an integral quadratic performance index is formulated and solved. The method of computing of a performance index value bases on determining of a Lyapunov functional defined on a state space such that its value for an initial state is equal to a performance index value. In the paper a form of a Lyapunov functional is assumed and a method of computing its coefficients is given. An example illustrating the application of discussed theory is presented. It concerns the system with a PD-controller designed to control a plant with two delays both retarded and neutral type. For such system a value of considered performance index is determined.
Źródło:
Archives of Control Sciences; 2013, 23, 2; 131-143
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Parametric optimization of neutral linear system with two delays with P-controller
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229977.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
parametric optimization
Lyapunov functional
time delay system
neutral system
Opis:
In the paper the problem of parametric optimization of a linear neutral system with two delays accomplished with respect to the integral quadratic performance index is formulated and solved. A method of computing the value of performance index relies on determining such a Lyapunov functional defined on the state space that its value for the initial state is equal to that of performance index. In the paper the form of Lyapunov functional is assumed and a method of computing its coefficients is given. An example illustrating the application of the theory discussed is presented. It concerns a system with the P-controller designed to control a plant with two delays both retarded and neutral type. For such a system the value of the considered performance index is determined.
Źródło:
Archives of Control Sciences; 2011, 21, 4; 363-372
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł

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