Title :
The Fornasini-Marchesini and the Roesser models: algebraic methods for recasting
Author :
Galkowski, Krzysztof
Author_Institution :
Inst. of Telecommun. & Acoust., Tech. Univ. of Wroclaw, Poland
fDate :
1/1/1996 12:00:00 AM
Abstract :
This paper is devoted to giving a new method for recasting the Fornasini-Marchesini model of the two-dimensional system to the Roesser form, endowed with an important feature, that the dimensions of both models are the same. The two-dimensional similarity transformation and spectral transformations of the transfer function variables are used for this purpose. Both the standard and singular cases are considered
Keywords :
modelling; multidimensional systems; state-space methods; transfer function matrices; 2D similarity transformation; Fornasini-Marchesini model; Roesser model; algebraic methods; matrix algebra; recasting; spectral transformations; state space model; transfer function matrix; two-dimensional system; Acoustics; Equations; Polynomials; Standards publication; Transfer functions; Two dimensional displays;
Journal_Title :
Automatic Control, IEEE Transactions on