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Bulletin of the Polish Academy of Sciences. Technical Sciences

Tytuł artykułu

Non-classical operational calculus applied to certain linear discrete time-system

Autorzy Mieloszyk, E.  Milewska, A.  Magulska, M. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
EN In the paper there bas been made an advantage of the non-classical operational calculus to determination of the response of the certain discrete time-systems. The Z-transform is often used to analysis of the stationary discrete time-systems. However, the use of the Z-transform to determination of the response especially of the non-stationary discrete time-systems is doubtful or may cause complications. This method leads to differential equa-tions of n-th order of variable coefficients, whose solutions are very difficult or impossible. The non-classical operational calculus ran be used to analysis both of the stationary and non-stationary discrete time-systems. The presented method with the use of the Heaviside operator soon leads to the target without unnecessary differential equations.
Słowa kluczowe
EN discrete-time system   Z-transform   non-classical operational calculus   Heaviside operator   analysis of the discrete time-system  
Wydawca Polska Akademia Nauk, Wydział IV Nauk Technicznych
Czasopismo Bulletin of the Polish Academy of Sciences. Technical Sciences
Rocznik 2006
Tom Vol. 54, nr 4
Strony 449--455
Opis fizyczny Bibliogr. 8 poz., rys., tab.
autor Mieloszyk, E.
autor Milewska, A.
autor Magulska, M.
  • Faculty of Applied Physics and Applied Mathematics, Gdańsk University of Technology, 11/12 Narutowicza St., 80-952 Gdańsk, Poland,
[1] E.I. Jury, Theory and Application of the Z-transform method, WNT, Warszawa, 1970, (in Polish).
[2] J. Kudrewicz, The Z-transform and the Difference Equations, PWN, Warszawa, 2000, (in Polish).
[3] R. Bittner, “Operational calculus in linear spaces”, Studia Math. 20, 1-18 (1961).
[4] R. Bittner, Operational Calculus in Groups, PWN, Warszawa, 1992, (in Polish).
[5] E. Mieloszyk, Generalized Dynamical Systems Expressed in Terms of Operational Calculus, Publishing House of IMP Polish Academy of Sciences, Gdańsk, 2003, (in Polish).
[6] E. Mieloszyk, “Application of the operational calculus in solving partial difference equation”, Acta Math. Hung. 48, 117–130 (1986).
[7] I. Ko´zniewska, Recurrent Equations, PWN, Warszawa, 1972, (in Polish).
[8] E. Mieloszyk and A. Milewska, “Application of the operational calculus to eigenvalue problem for some difference equation of 2nd order”, Mathematical Exercises of Gdansk University of Technology XVII, 123–134 (1996).
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-BPG5-0016-0030