Finite state test for asymptotic stability of two-dimensional shift-variant discrete systems

Author

Xiao, Yang

Author_Institution

Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China

Volume

1

fYear

2000

fDate

2000

Firstpage

409

Abstract

Test theorems and their algorithms for asymptotic stability test of two-dimensional (2-D) shift-variant discrete systems are presented and proved. Compared with the classical results about stability of 1-D shift-variant discrete systems, our criteria are based on finite states of system matrices of the shift-variant discrete systems, and they are necessary and sufficient conditions for asymptotic stability of 1-D and 2-D shift-variant discrete systems. The criteria are of simpler forms for their on-line applications. Examples are given to illustrate the difference of stability criteria between shift-variant discrete systems and shift-invariant discrete systems

Keywords

asymptotic stability; discrete systems; matrix algebra; multidimensional systems; 1D shift-variant discrete systems; 2D ARMA modeling; 2D Kalman filters; 2D adaptive filters; 2D shift-variant discrete systems; algorithms; asymptotic stability test; finite state test; necessary conditions; shift-invariant discrete systems; sufficient conditions; system matrices; test theorems; two-dimensional shift-variant discrete systems; Adaptive filters; Asymptotic stability; Equations; Information science; Stability criteria; Sufficient conditions; System testing; Two dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing Proceedings, 2000. WCCC-ICSP 2000. 5th International Conference on

Conference_Location

Beijing

Print_ISBN

0-7803-5747-7

Type

conf

DOI

10.1109/ICOSP.2000.894520

Filename

894520