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Tytuł:
Computer aided methods for stability analysis of 2D linear systems described by the first Fornasini-Marchesini model
Autorzy:
Ruszewski, A.
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/384998.pdf
Data publikacji:
2014
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
2D system
linear, discrete
stability
computational method
Opis:
Computer aided methods for investigation of the asymptotic stability of 2D discrete linear systems described by the first Fornasini-Marchesini model are given. The methods require computation of eigenvalues of complex matrices or values of complex functions. Effectiveness of the stability tests are demonstrated on numerical examples.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2014, 8, 2; 3-8
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computation of positive realization of MIMO hybrid linear systems in the form of second Fornasini-Marchesini model
Autorzy:
Kaczorek, T.
Sajewski, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/229849.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
hybrid
2D system
positive
realization
existence
computation
Opis:
The realization problem for positive multi-input and multi-output (MIMO) linear hybrid systems with the form of second Fornasini-Marchesini model is formulated and a method based on the state variable diagram for finding a positive realization of a given proper transfer matrix is proposed. Sufficient conditions for the existence of the positive realization of a given proper transfer matrix are established. A procedure for computation of a positive realization is proposed and illustrated by a numerical example.
Źródło:
Archives of Control Sciences; 2010, 20, 3; 267-285
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
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:
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:
Positive switch 2D linear systems described by the general models
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/386508.pdf
Data publikacji:
2010
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
stabilność praktyczna
dodatni układ dwuwymiarowy
model
asymptotic stability
positive 2D system
Opis:
The positive switched 2D linear systems described by the general models are addressed. Necessary and sufficient conditions for the asymptotic stability of the positive switched system are established for any switching. The considerations are illustrated by numerical examples.
Źródło:
Acta Mechanica et Automatica; 2010, 4, 4; 36-41
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Realization of 2D (2,2)-periodic encoders by means of 2D periodic separable Roesser models
Autorzy:
Napp, Diego
Pereira, Ricardo
Pinto, Raquel
Rocha, Paula
Powiązania:
https://bibliotekanauki.pl/articles/329946.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
periodic 2D system
convolutional codes
realization problems
układ dwuwymiarowy
kod splotowy
problem realizacji
Opis:
It is well known that convolutional codes are linear systems when they are defined over a finite field. A fundamental issue in the implementation of convolutional codes is to obtain a minimal state representation of the code. Compared with the literature on one-dimensional (1D) time-invariant convolutional codes, there exist relatively few results on the realization problem for time-varying 1D convolutional codes and even fewer if the convolutional codes are two-dimensional (2D). In this paper we consider 2D periodic convolutional codes and address the minimal state space realization problem for this class of codes. This is, in general, a highly nontrivial problem. Here, we focus on separable Roesser models and show that in this case it is possible to derive, under weak conditions, concrete formulas for obtaining a 2D Roesser state space representation. Moreover, we study minimality and present necessary conditions for these representations to be minimal. Our results immediately lead to constructive algorithms to build these representations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 3; 527-539
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
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:
New stability conditions for positive continuous-discrete 2D linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907592.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system dodatni
system liniowy
układ ciągło-dyskretny
positive systems
2D linear system
continuous-discrete systems
Opis:
New necessary and sufficient conditions for asymptotic stability of positive continuous-discrete 2D linear systems are established. Necessary conditions for the stability are also given. The stability tests are demonstrated on numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 521-524
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reachability and minimum energy control of positive 2D systems with delays
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/970095.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
układ dwuwymiarowy
rozwiązanie
opóźnienie
osiągalność
2D positive system
delay
reachability
solution
minimum energy control
Opis:
The notion of internally positive 2D model (system) with delays is introduced. Solution of the 2D linear models with delays is derived. Necessary and sufficient conditions for the internal positivity and reachability of the models are established. The Cayley-Hamilton theorem for the 2D linear models with delays is extended. The minimum energy control for the internally positive 2D models with delays is formulated and solved.
Źródło:
Control and Cybernetics; 2005, 34, 2; 411-423
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of the descriptor Roesser model with the use of the Drazin inverse
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/329922.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
Drazin inverse
descriptor
Roesser model
descriptor time
2D linear system
odwrotność Drazina
deskryptor
model Roessera
układ liniowy 2D
Opis:
A method of analysis for a class of descriptor 2D discrete-time linear systems described by the Roesser model with a regular pencil is proposed. The method is based on the transformation of the model to a special form with the use of elementary row and column operations and on the application of a Drazin inverse of matrices to handle the model. The method is illustrated with a numerical example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 3; 539-546
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
Tytuł:
Dynamic load of linear guiding systems in handling machines
Autorzy:
Jírová, Radka
Pešík, Lubomír
Powiązania:
https://bibliotekanauki.pl/articles/197727.pdf
Data publikacji:
2019
Wydawca:
Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
Tematy:
linear guiding system
dynamic load
2D motion
system prowadzenia liniowego
obciążenia dynamiczne
ruch 2D
Opis:
Linear guiding systems are used in machines for relative translational motion of components, especially for handling devices, which are the basis of production lines. In these operating conditions, the linear guiding systems are dynamically loaded. Dynamical influences may lead to the decrease and damage of bearings. The aim of this paper was to calculate dynamical influences of a mass inertia on linear guiding systems. This issue was solved by a numerical calculation of differential motion equations in 2D. The motion was calculated on an example of a handling machine for welding car bodies. The result is a percentage representation of the dynamic forces on the total load of the linear guiding systems. The result shows the percentage representation in the solved case as more than 10%.
Źródło:
Zeszyty Naukowe. Transport / Politechnika Śląska; 2019, 103; 31-41
0209-3324
2450-1549
Pojawia się w:
Zeszyty Naukowe. Transport / Politechnika Śląska
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 24

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