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Wyszukujesz frazę "linear continuous system" wg kryterium: Temat


Wyświetlanie 1-7 z 7
Tytuł:
Robust stability of positive continuous-time linear systems with delays
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/908143.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
czas ciągły
system liniowy
opóźnienie
stabilność odporna
niepewność liniowa
positive continuous-time linear system
delay
robust stability
linear uncertainty
interval system
Opis:
The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 4; 665-670
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computational methods for investigation of stability of models of 2D continuous-discrete linear systems
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/384990.pdf
Data publikacji:
2011
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
continuous-discrete system
hybrid system
linear system
stability
computational methods
Opis:
The problem of asymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of asymptotic stability of the Fornasini-Marchesini type and the Roesser type models, are given. The methods proposed require computation of the eigenvalue-loci of complex matrices. Effectiveness of the stability tests are demonstrated on numerical examples.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2011, 5, 1; 3-7
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of continuous-time linear systems consisting of n subsystems with different fractional orders
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/201343.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
continuous-time
fractional
stability
Mikhailov criterion
Opis:
The stability problem of continuous-time linear systems described by the state equation consisting of n subsystems with different fractional orders of derivatives of the state variables has been considered. The methods for asymptotic stability checking have been given. The method proposed in the general case is based on the Argument Principle and it is similar to the modified Mikhailov stability criterion known from the stability theory of natural order systems. The considerations are illustrated by numerical examples.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2012, 60, 2; 279-284
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pointwise completeness and pointwise degeneracy of linear continuous-time fractional order systems
Autorzy:
Kaczorek, T.
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/384856.pdf
Data publikacji:
2009
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
linear system
fractional
continuous-time
positive
pointwise completeness
Opis:
A dynamical system described by homogeneous equation is called pointwise complete if every final state can be reached by suitable choice of the initial state. The system which is not pointwise complete is called pointwise degenerated. Definitions and necessary and sufficient conditions for the pointwise completeness and the pointwise degeneracy of continuous-time linear systems of fractional order, standard and positive, are given. It is shown that: 1) the standard fractional system is always pointwise complete; 2) the positive fractional system is pointwise complete if and only if the state matrix is diagonal.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2009, 3, 1; 8-11
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of linear continuous-time fractional systems of commensurate order
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/384871.pdf
Data publikacji:
2009
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
stability
linear system
continuous-time
fractional
commensurate order
Opis:
The paper considers the stability problem of linear time-invariant continuous-time systems of fractional commensurate order. It is shown that the system is stable if and only if plot of rational function of fractional order, called as the generalised modified Mikhailov plot, and does not encircle the origin of the complex plane. The considerations are illustrated by numerical examples.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2009, 3, 1; 12-17
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust stability of a class of uncertain fractional order linear systems with pure delay
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/229707.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
fractional
continuous-time
pure delay
robust stability
interval matrix
Opis:
The paper considers the robust stability problem of uncertain continuous-time fractional order linear systems with pure delay in the following two cases: a) the state matrix is a linear convex combination of two known constant matrices, b) the state matrix is an interval matrix. It is shown that the system is robustly stable if and only if all the eigenvalues of the state matrix multiplied by delay in power equal to fractional order are located in the open stability region in the complex plane. Parametric description of boundary of this region is derived. In the case a) the necessary and sufficient computational condition for robust stability is established. This condition is given in terms of eigenvalue-loci of the state matrix, fractional order and time delay. In the case b) the method for determining the rectangle with sides parallel to the axes of the complex plane in which all the eigenvalues of interval matrix are located is given and the sufficient condition for robust stability is proposed. This condition is satisfied if the rectangle multiplied by delay in power equal to fractional order lie in the stability region. The considerations are illustrated by numerical examples.
Źródło:
Archives of Control Sciences; 2015, 25, 2; 177-187
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability conditions for linear continuous-time fractional-order state-delayed systems
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/200015.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
fractional
continuous-time
state delay
asymptotic stability
systemy liniowe
stabilność asymptotyczna
opóźnienie czasowe
Opis:
The stability problem of continuous-time linear fractional order systems with state delay is considered. New simple necessary and sufficient conditions for the asymptotic stability are established. The conditions are given in terms of eigenvalues of the state matrix and time delay. It is shown that in the complex plane there exists such a region that location in this region of all eigenvalues of the state matrix multiplied by delay in power equal to the fractional order is necessary and sufficient for the asymptotic stability. Parametric description of boundary of this region is derived and simple new analytic necessary and sufficient conditions for the stability are given. Moreover, it is shown that the stability of the fractional order system without delay is necessary for the stability of this system with delay. The considerations are illustrated by a numerical example.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 3-7
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-7 z 7

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