Title :
On the internal stability of two-dimensional filters
Author :
Fornasini, E. ; Marchesini, G.
Author_Institution :
Università di Padova, Padua, Italy
fDate :
2/1/1979 12:00:00 AM
Abstract :
The internal stability concept for state-space representations of two-dimensional filters is introduced and an algebraic stability criterion is presented. The connections among internal stability, input-output stability, and coprimeness of the realization are also clarified.
Keywords :
Multidimensional digital filters; Recursive digital filter stability; Asymptotic stability; Automatic control; Equations; Filtering theory; Filters; Linear systems; Polynomials; Stability criteria; State-space methods; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1979.1101957
