Title :
Stability of two-dimensional discrete systems
Author :
Bose, Tamal ; Xu, Guo-Fang
Author_Institution :
Dept. of Electr. Eng., Colorado Univ., Denver, CO, USA
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;
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
DOI :
10.1109/ISCAS.1999.778857
