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Tytuł:
Comparison of approximation methods of positive stable continuous-time linear systems by positive stable discrete-time systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/140634.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
approximation
continuous-time
discrete-time
positive system
Opis:
The positive asymptotically stable continuous-time linear systems are approximated by corresponding asymptotically stable discrete-time linear systems. Two methods of the approximation are presented and the comparison of the methods is addressed. The considerations are illustrated by three numerical examples and an example of positive electrical circuit.
Źródło:
Archives of Electrical Engineering; 2013, 62, 2; 345-355
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of approximation methods of positive stable continuous-time linear systems by positive stable discrete-time systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/377291.pdf
Data publikacji:
2013
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
continuous-time linear systems
discrete-time linear systems
Opis:
The positive asymptotically stable continuous-time linear systems are approximated by corresponding asymptotically stable discrete-time linear systems. Two methods of the approximation are presented and the comparison of the methods is addressed. The considerations are illustrated by three numerical examples and an example of positive electrical circuit.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2013, 73; 9-20
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling CTMC with a standard programming language and using conventions from computer networking
Modelowanie łańcuchów Markowa z czasem ciągłym przy użyciu standardowego języka programowania i z zastosowaniem konwencji z dziedziny sieci komputerowych
Autorzy:
Rataj, A.
Nowak, M.
Pecka, P.
Powiązania:
https://bibliotekanauki.pl/articles/375742.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Markov chain
continuous time
model checking
Java
Opis:
Continuous time Markov chains (CTMC) are one of the formalisms for building models. This paper discusses expressing these models in a standard programming language – Java. Using such a language as a model description allows for a partially common implementation of the production software and of the description of the model, for a greater flexibility in comparison to model-checker specific languages that often do not employ features of an object-oriented programming. Using Java also makes the parsing of models relatively fast, using optimised Java runtime environment. Our approach aims at using typical mechanisms of the Java language when implementing the model, and at the same time, following closely the concepts from computer networking and from formalisms based on it, like the queueing systems. These assumption result in techniques like plain object fields constituting the state vector, or negotiation between nodes to decide if an event happens.
Łańcuchy Markowa czasu rzeczywistego są jednym z formalizmów używanych do budowy modeli. Artykuł ten omawia wyrażanie takich modeli w standardowym języku programowania - Javie. Użycie takiego języka umożliwia częściowo wspólną implementację oprogramowania użytkowego i opisu modelu, większą elastyczność w porównaniu do często nie używających obiektowych konwencji programistycznych języków stosowanych przez oprogramowanie weryfikujące, oraz szybką budowę modelu z użyciem zoptymalizowanego środowiska czasu wykonania Javy. Nasze podejście miało na celu wykorzystanie typowych mechanizmów języka Java przy opisie modelu i jednoczesnie trzymanie się konwencji z dziedziny sieci komputerowych i pokrewnych formalizmóm typu systemy kolejkowe. Dlatego używamy technik takich jak zastosowanie pól obiektów jako elementów wektora stanu czy negocjacja pomiędzy węzłami, czy dane zdarzenie ma mieć miejsce.
Źródło:
Theoretical and Applied Informatics; 2011, 23, 3-4; 229-243
1896-5334
Pojawia się w:
Theoretical and Applied Informatics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On parametric Hurwitz stability margin of real polynomials
Autorzy:
Husek, P.
Powiązania:
https://bibliotekanauki.pl/articles/1839184.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
robust stability
parametric uncertainty
continuous-time systems
Opis:
The paper deals with the problem of determining Hurwitz stability of a ball of polynomials defined by a weighted lp norm in the coefficient space where p is an arbitrary positive integer including infinity. The solution of the case when the weights are supposed to be the same for coefficient being above and below its nominal value corresponding to symmetric ball has been given by Tsypkin and Polyak. However, sometimes it seems to be useful to have a possibility to consider these weights as different, resulting in the asymmetric ball. This is, for example, the situation where the weights express our level of confidence that the real value of a coefficient lies in some interval. Such approach is used if the value of a coefficient is estimated by an expert. Solution of the problem is based on frequency domain plot in the complex plane and on applying the Zero Exclusion Theorem. The main idea consists in separation of the original problem into four subproblems and using an appropriate coordinate transformation which makes the value set independent of frequency. This transformation makes it possible to move the relative value set into the origin of the complex plane and to easily formulate the necessary and sufficient condition of Hurwitz stability of asymmetric ball of polynomials with prescribed radius or determine the maximum radius preserving stability. The whole graphical procedure consists of four plots instead of one, needed in the symmetric case.
Źródło:
Control and Cybernetics; 2008, 37, 3; 549-563
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of The Second Fornasini-Marchesini Type Model of Continuous-Discrete Linear Systems
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/387308.pdf
Data publikacji:
2011
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
system liniowy
stabilność
continuous-time systems
stability
Opis:
The problem of asymptotic stability of continuous-discrete linear systems is considered. Simple necessary conditions and two computer methods for investigation of asymptotic stability of the second Fornasini-Marchesini type model are given. The first method requires computation of the eigenvalue-loci of complex matrices, the second method requires computation of determinants of some matrices. Effectiveness of the methods is demonstrated on numerical example.
Źródło:
Acta Mechanica et Automatica; 2011, 5, 4; 17-21
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reachability of fractional positive continuous-time linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/384883.pdf
Data publikacji:
2009
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
fractional
positive
continuous-time
linear
system
reachability
Opis:
A new class of fractional linear continuous-time linear systems described by the state equation is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of the fractional systems. Sufficient conditions are given for the reachability of the fractional positive systems.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2009, 3, 1; 3-7
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Derivation of Discrete Time Fourier Transform from Its Continuous Counterpart
Autorzy:
Borys, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/227150.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
sampling of signals
discrete time
continuous time
Fourier transforms
Opis:
This paper is devoted to some problems that appear in derivations of the discrete time Fourier transform from a formula for its continuous time counterpart for transformation from the time into the frequency domain as well as to those regarding transformation in the inverse direction. In particular, the latter ones remained so far an unresolved problem. It is solved for the first time here. Many detailed explanations accompanying the solution found are presented. Finally, it is also worth noting that our derivations do not exploit any of such sophisticated mathematical tools as the so-called Dirac delta and Dirac comb.
Źródło:
International Journal of Electronics and Telecommunications; 2020, 66, 2; 355-360
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Absolute stability of a class of positive nonlinear continuous-time and discrete-time systems
Autorzy:
Kaczorek, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/229163.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
absolute stability
positive
nonlinear
discrete-time
continuous-time
systems
Opis:
The positivity and absolute stability of a class of nonlinear continuous-time and discrete-time systems are addressed. Necessary and sufficient conditions for the positivity of this class of nonlinear systems are established. Sufficient conditions for the absolute stability of this class of nonlinear systems are also given.
Źródło:
Archives of Control Sciences; 2019, 29, 1; 157-167
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Absolute stability of a class of nonlinear systems with nonpositive linear parts
Autorzy:
Kaczorek, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/229229.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
absolute stability
positive
nonlinear
discrete-time
continuous-time
systems
Opis:
The positivity and absolute stability of a class of nonlinear continuous-time and discrete-time systems with nonpositive linear part are addressed. Necessary and sufficient conditions for the positivity of this class of nonlinear systems are established. Sufficient conditions for the absolute stability of this class of nonlinear systems are also given.
Źródło:
Archives of Control Sciences; 2019, 29, 2; 247-258
1230-2384
Pojawia się w:
Archives of Control 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
Tytuł:
Relationship between the observability of standard and fractional linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/230092.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional
standard
linear
discrete-time
continuous-time
system
observability
Opis:
The relationship between the observability of standard and fractional discrete-time and continuous-time linear systems are addressed. It is shown that the fractional discrete-time and continuous-time linear systems are observable if and only if the standard discrete-time and continuous-time linear systems are observable.
Źródło:
Archives of Control Sciences; 2017, 27, 3; 441-451
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New stability tests for fractional positive descriptor linear systems
Autorzy:
Kaczorek, Tadeusz
Ruszewski, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/27311999.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
descriptor
fractional
positive
continuous-time
discrete-time
system
stability
Opis:
The asymptotic stability of fractional positive descriptor continuous-time and discrete-time linear systems is considered. New sufficient conditions for stability of fractional positive descriptor linear systems are established. The efficiency of the new stability conditions are demonstrated on numerical examples of fractional continuous-time and discrete-time linear systems.
Źródło:
Archives of Control Sciences; 2023, 33, 1; 71--81
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Realization problem for singular positive continuous-time systems with delays
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/969739.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
realization
positive
singular
continuous-time
system
existence
procedure
Opis:
The positive realization problem for a class of singular continuous-time linear SISO systems with delays in state and in output is addressed. The notions of canonical forms of matrices and of dual systems are extended for singular linear systems with delays. Necessary and sufficient conditions for positivity of SISO singular continuous-time systems with delays and sufficient conditions for the existence of a positive singular realization are established. A procedure for computation of a positive singular realization of a given transfer function is proposed and illustrated by a numerical example.
Źródło:
Control and Cybernetics; 2007, 36, 1; 47-57
0324-8569
Pojawia się w:
Control and Cybernetics
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:
Stability of positive fractional switched continuous-time linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/201380.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional
positive
switched
linear
asymptotic stability
continuous-time
Opis:
The asymptotic stability of positive fractional switched continuous-time linear systems for any switching is addressed. Simple sufficient conditions for the asymptotic stability of the positive fractional systems are established. It is shown that the positive fractional switched systems are asymptotically stable for any switchings if the sum of entries of every column of the matrices of all subsystems is negative.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 2; 349-352
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
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