论文信息 - Observability and reconstructibility of the 2-D Fornasini-Marchesini model

Observability and reconstructibility of the 2-D Fornasini-Marchesini model

Notions of global and causal observability and reconstructibility of the model are presented. The necessary and sufficient condition for the existence of these properties are formulated. The conditions are given in terms of 1-D system observability and reconstructibility, so that well-known tests for those systems can be used to check the observability and reconstructibility of the 2-D systems. Some relations between these properties are also presented. >

J. E. Kurek

[1] M. Bisiacco. On the state reconstruction of 2D systems , 1985 .

[2] Ettore Fornasini,et al. Global properties and duality in 2-D systems , 1982 .

[3] Dante C. Youla,et al. Notes on n-Dimensional System Theory , 1979 .

[4] G. Marchesini,et al. On some connections between 2D systems theory and the theory of systems over rings , 1984 .

[5] T. Kaczorek. Two-Dimensional Linear Systems , 1985 .

[6] Michael A. Arbib,et al. Topics in Mathematical System Theory , 1969 .

[7] M. Hautus. Stabilization, controllability and observability of linear autonomous systems , 1970 .

[8] R. Roesser. A discrete state-space model for linear image processing , 1975 .

[9] W. Marszalek. Two-dimensional state-space discrete models for hyperbolic partial differential equations , 1984 .

[10] G. Marchesini,et al. A Critical Review of Recent Results on 2-D System Theory , 1981 .