Stability of two-dimensional discrete systems

Author

Bose, Tamal ; Xu, Guo-Fang

Author_Institution

Dept. of Electr. Eng., Colorado Univ., Denver, CO, USA

Volume

3

fYear

1999

fDate

36342

Firstpage

351

Abstract

The stability of a 2-D discrete system formulated in the form of the Fornasini Marchesini (FM) state-space model is studied. New stability conditions are established based on which a stability testing algorithm is developed. This algorithm is based on finding the maximum eigenvalue of a variable matrix. Such an approach has been used before. However, the new stability results reported here result in a significant reduction in computational complexity of the algorithm

Keywords

circuit stability; computational complexity; eigenvalues and eigenfunctions; filtering theory; matrix algebra; multidimensional systems; stability criteria; state-space methods; two-dimensional digital filters; 2D discrete system; Fornasini Marchesini state-space model; computational complexity reduction; maximum eigenvalue; stability conditions; stability testing algorithm; two-dimensional discrete systems; variable matrix; Computational complexity; Digital filters; Eigenvalues and eigenfunctions; Equations; Frequency dependence; IIR filters; Mathematical model; Stability; Sufficient conditions; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-5471-0

Type

conf

DOI

10.1109/ISCAS.1999.778857

Filename

778857