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

Volume

38

Issue

9

fYear

1990

fDate

9/1/1990 12:00:00 AM

Firstpage

1578

Lastpage

1586

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;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.60084

Filename

60084