Title :
A stability analysis of two-dimensional nonlinear digital state-space filters
Author :
Bauer, Peter H. ; Jury, E.I.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
fDate :
9/1/1990 12:00:00 AM
Abstract :
Two different methods for a stability analysis of 2-D nonlinear discrete state-space systems under zero input conditions are provided. The first method reduces the task of testing a 2-D discrete nonlinear or shift-varying system to a single 2-D linear stability test of a system matrix with nonnegative system matrix entries. The second method is based on a number of norm tests for products of extreme matrices, and can be considered the 2-D counterpart of the method for 1-D systems described by K.T. Erickson and A.N. Michel (1985). Both of the introduced methods are based on the sector description of the nonlinearity and can be used to analyze digital filter stability under finite-word-length effects
Keywords :
filtering and prediction theory; matrix algebra; stability; state-space methods; two-dimensional digital filters; extreme matrices; finite-word-length effects; nonlinear discrete state-space systems; norm tests; shift-varying system; stability analysis; system matrix; two-dimensional nonlinear digital state-space filters; zero input conditions; Digital filters; Filtering theory; Multidimensional systems; Nonlinear filters; Robust stability; Stability analysis; System testing; Two dimensional displays; Upper bound; Vectors;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
