Controllability and reconstructability of a system described by the N-D Roesser model

• Autorzy: Jerzy E. Kurek
• Języki publikacji: EN

Abstrakty

EN

The controllability and reconstructability (global) of the system described by a digital N-D Roesser model are defined. Then, necessary and sufficient conditions for system controllability and reconstructability are given. The conditions constitute a generalization of the corresponding conditions for 1-D systems.

Słowa kluczowe

EN

N-D systems; reconstructability; Roesser model; controllability

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 1
• Strony: 55-60

Daty

wydano

2003

otrzymano

2002-09-01

poprawiono

2003-01-01

Twórcy

autor

Jerzy E. Kurek

• Institute of Automatic Control and Robotics, Warsaw University of Technology, ul. Św. A. Boboli 8, 02-525 Warsaw, Poland

Bibliografia

• Attasi S. (1973): Systemes lineaires homogénes á deux indices. - Rapport Laboria, Vol. 31, No. 1, pp. 1-37.
• Bisiacco M. (1985): State and output feedback stabilizability of 2-D systems. - IEEE Trans. Circ. Syst., Vol. CAS-32, No. 11, pp. 1246-1254.
• Fornasini E. and Marchesini G. (1978): Doubly indexed dynamical systems: State-space models and structural properties. - Math. Syst. Theory, Vol. 12, No. 1, pp. 59-72.
• Kaczorek T. (1985): Two-Dimensional Linear Systems. - Heidelberg: Springer.
• Kung S.Y., Levy B.C., Morf M. and Kailath T. (1977): New results in 2-D systems theory, Part II: 2-D state-space model realization and the notionsof controllability, observability, and minimality. - Proc. IEEE, Vol. 65, No. 10, pp. 945-961.
• Kurek J.E. (1985): The general state-space model for a two-dimensional linear digital systems. - IEEE Trans. Automat. Contr., Vol. AC-30, No. 5, pp. 600-602.
• Kurek J.E. (1987): Observability and reconstructability of 2-D linear digital systems. - IEEE Trans. Automat. Contr., Vol. AC-32, No. 2, pp. 170-172.
• Kurek J.E. (1987): Reachability of a system described by the multidimensional Roesser model. - Int. J. Contr., Vol. 45, No. 6, pp. 1559-1563.
• Kurek J.E. (1990): Controllability of the 2-D Roesser model. - Multidim. Syst. Signal Process., Vol. 1, No. 5, pp. 381-387.
• Kurek J.E. (1990): Genericness of solution to N-dimensional polynomial matrix equation XA=I. - IEEE Trans Circ. Syst., Vol. 37, No. 9, pp. 1041-1043.
• Marszalek W. (1984): Two dimensional state-space discrete models for hyperbolic partial differential equations. - Appl. Math. Models, Vol. 8, No. 1, pp. 11-14.
• Roesser R.P. (1975): A discrete state-space model for linear imageprocessing. - IEEE Trans. Automat. Contr., Vol. AC-20, No. 1, pp. 1-10.
• Youla D.C. (1979): Notes on N-dimensional system theory. - IEEE Trans. Circuits Sys., Vol. CAS-26, No. 1, pp. 105-111.