The General State-Space Model for a Two-Dimensional Linear Digital System

IEEE Transactions on Automatic Control

Volumn 30, Issue 6, 1985, Pages 600-602

  Kurek, Jerzy E ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, DIGITAL; MATHEMATICAL TECHNIQUES - STATE SPACE METHODS;

CAYLEY-HAMILTON THEOREM; LINEAR CAUSAL SYSTEM; STATE-TRANSITION MATRIX; TWO-DIMENSIONAL SYSTEM;

CONTROL SYSTEMS, LINEAR;

EID: 0022079959     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1985.1103998     Document Type: Article

References (8)

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2. E. Fomasini and G. Marchesini. “State-space realization theory of two-dimensional filters,” IEEE Trans. Automat. Contr., vol. AC-21, no. 4, pp. 484–492, Aug. 1976.
3. E. Fornasini and G. Marchesini “Doubly-indexed dynamical systems: State-space models and structural properties,” Math. Syst. Theory, vol. 12, pp. 59–72, 1978.
4. E. Fornasini and G. Marchesini, “A critical review of recent results on 2-D systems theory” (Preprints) Proc. 8th IFAC Congress, 1981, vol. II, pp. 147–153.
5. S.-Y. Kung, B. C. Levy, M. Morf, and T. Kailath, “New results in 2-D systems theory—Part II: 2-D state-space models-realization and the notions of controllability, observability and minimality,” Proc. IEEE, vol. 65, pp. 945–961, June 1977.
6. W. Marszarek “Two dimensional state-space discrete models for hyperbolic partial differential equations Appl. Math. Model., vol. 8, pp. 11–14, Feb. 1984.
7. R. R. Roesser, “A discrete state-space model for linear image processing,” IEEE Trans. Automat. Contr., vol. AC-20, pp. 1–10, Feb. 1975.
8. S. G. Tzafestas and T. G. Pimenides, “Exact model-matching control of three-dimensional systems using state and output feedback,” Int. J. Syst. Sci., vol. 13, pp. 1171–1187, 1982.