Zeroing the transfer matrix of the Roesser model of 2-D linear systems

• Autorzy: Kaczorek Tadeusz

Identyfikatory

DOI

10.34768/amcs-2023-0037

• Języki publikacji: EN

Abstrakty

EN

Controllability, observability and the transfer matrix of the discrete 2-D Roesser model are analyzed. It is shown that the controllability of the Roesser model is invariant under state feedbacks and the observability under output feedbacks. Sufficient conditions are established for the zeroing of the transfer matrix of the Roesser model.

Słowa kluczowe

EN

controllability; observability; 2D Roesser model; state feedback; output feedback; zeroing of the transfer matrix

PL

sterowalność; obserwowalność; model Roessera dwuwymiarowy; sprzężenie od stanu; sprzężenie zwrotne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2023
• Tom: Vol. 33, no. 4
• Strony: 513--519
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Kaczorek Tadeusz

• Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland

Bibliografia

• [1] Fornasini, E. and Marchesini, G. (1978). Doubly indexed dynamical systems: State space models and structural properties, Mathematical Systems Theory 12(1): 59-72.
• [2] Kaczorek, T. (1989). Decomposition of the Roesser model and new conditions for the local controllability and local observability, International Journal of Control 49(1): 65-72.
• [3] Kaczorek, T. (1993). Linear Control Systems, Vol. 2,Wiley, New York.
• [4] Kaczorek, T. (1985). Two-Dimensional Linear Systems, Springer, Berlin.
• [5] Kaczorek, T. and Rogowski, K. (2015). Fractional Linear Systems and Electrical Circuits, Springer, Cham.
• [6] Kalman, R.E. (1960). On the general theory of control systems, Proceedings of the 1st IFAC Congress an Automatic Control, Moscow, USSR, pp. 481-492.
• [7] Klamka, J. (1991). Controllability of Dynamical Systems, Kluwer, Dordrecht.
• [8] Kurek, J.E. (1985). The general state space model for a two-dimensional linear digital system, IEEE Transactions on Automatic Control 30(6): 1-10.
• [9] Roesser, R.P. (1975). A discrete state-space model for linear image processing, IEEE Transactions on Automatic Control 20(1): 1-10.
• [10] Rogowski, K. (2020). General response formula for CFD pseudo-fractional 2D continuous linear systems described by the Roesser model, Symmetry 12(12): 1-12.
• [11] Ruszewski, A. (2019). Stability of discrete-time fractional linear systems with delays, Archives of Control Sciences 29(3): 549-567.
• [12] Sajewski, L. (2016). Descriptor fractional discrete-time linear system with two different fractional orders and its solution, Bulletin of the Polish Academy of Sciences: Technical Sciences 64(1): 15-20.

Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)