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Wyszukujesz frazę "2-D system" wg kryterium: Temat


Wyświetlanie 1-6 z 6
Tytuł:
Digraph-building method for finding a set of minimal realizations of 2-D dynamic systems
Autorzy:
Markowski, K. A.
Hryniów, K.
Powiązania:
https://bibliotekanauki.pl/articles/200035.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
2-D system
characteristic polynomial
digraph
minimal realization
MATLAB
system 2D
wielomian
graf dwudzielny
Opis:
This paper presents a digraph-building method designed to find the determination of realization of two-dimensional dynamic system. The main differences between the method proposed and other state-of-the-art solutions used include finding a set of realizations (belonging to a defined class) instead of only one realization, and the fact that obtained realizations have minimal size of state matrices. In the article, the proposed method is described, compared to state-of-the-art methods and illustrated with numerical examples. To the best of authors’ knowledge, the method shown in the paper is superior to all other state-of-the-art solutions both in terms of number of solutions and their matrix size. Additionally, MATLAB function for determination of realization based on the set of state matrices is included.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 5; 589-597
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/929586.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
postać kanoniczna
podobieństwo
stan sprzężenia zwrotnego
system 2D
common canonical form
similarity transformation
2D linear system
state feedback
Opis:
The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one, (ii) the reduced 2D system is positive if and only if the linear transformation matrix is monomial. Necessary and sufficient conditions are established for the existence of a gain matrix such that the matrices of the closed-loop system can be reduced to the common canonical form.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 3; 507-512
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positivity and stabilization of fractional 2D linear systems described by the Roesser model
Autorzy:
Kaczorek, T.
Rogowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/907776.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
dodatniość
stabilizacja
system ułamkowy
model Roessera
system 2D
positivity
stabilization
fractional systems
Roesser model
2D systems
Opis:
A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. A procedure for the computation of a gain matrix is proposed and illustrated by a numerical example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 1; 85-92
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Independence of asymptotic stability of positive 2D linear systems with delays of their delays
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907661.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system 2D
stabilność asymptotyczna
system dodatni
opóźnienie
2D systems
systems with delays
asymptotic stability
positive systems
Opis:
It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 255-261
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust stabilization of discrete linear repetitive processes with switched dynamics
Autorzy:
Bochniak, J.
Gałkowski, K.
Rogers, E.
Kummert, A.
Powiązania:
https://bibliotekanauki.pl/articles/908381.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
proces powtarzalny
system 2D
stabilizacja
niepewność
repetitive processes
2D systems
switched dynamics
stabilization
uncertainty
Opis:
Repetitive processes constitute a distinct class of 2D systems, i.e., systems characterized by information propagation in two independent directions, which are interesting in both theory and applications. They cannot be controlled by a direct extension of the existing techniques from either standard (termed 1D here) or 2D systems theories. Here we give new results on the design of physically based control laws. These results are for a sub-class of discrete linear repetitive processes with switched dynamics in both independent directions of information propagation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 4; 441-462
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimal order deadbeat functional observers for singular 2D linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/206246.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
obserwatory
obserwator funkcjonalny
system liniowy singularny
system 2D
observers
minimal order observers
functional observers
singular linear systems
2D systems
Opis:
Sufficient conditions for the existence of minimal order deadbeat functional observers for singular 2D linear systems described by the general singular 2D model are established. A procedure for computing matrices of the functional observers is given and illustrated by numerical example.
Źródło:
Control and Cybernetics; 2003, 32, 2; 301-311
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-6 z 6

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