Title :
Finite state test for asymptotic stability of two-dimensional shift-variant discrete systems
Author_Institution :
Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China
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;
Conference_Titel :
Signal Processing Proceedings, 2000. WCCC-ICSP 2000. 5th International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-5747-7
DOI :
10.1109/ICOSP.2000.894520
