Robust stability of 2-D discrete systems described by the Fornasini-Marchesini second model employing quantization/overflow nonlinearities

Author

Kar, Haranath ; Singh, Vimal

Author_Institution

Dept. of Electr. Electron. Eng., Atilim Univ., Ankara, Turkey

Volume

51

Issue

11

fYear

2004

Firstpage

598

Lastpage

602

Abstract

New criteria for the global asymptotic stability of the uncertain two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space model under various combinations of overflow and quantization nonlinearities are established. Sufficient conditions for the uncertain 2-D discrete systems to be free of overflow oscillations under a generalized overflow arithmetic are presented.

Keywords

Lyapunov methods; asymptotic stability; discrete time filters; filtering theory; linear matrix inequalities; state-space methods; two-dimensional digital filters; uncertain systems; 2D discrete systems; Fornasini-Marchesini second model; Lyapunov methods; asymptotic stability; finite wordlength effects; linear matrix inequality; local state-space model; overflow arithmetic; overflow nonlinearities; overflow oscillations; quantization nonlinearities; uncertain systems; Arithmetic; Asymptotic stability; Data processing; Finite wordlength effects; Quantization; Robust stability; Sufficient conditions; Two dimensional displays; Uncertain systems; Uncertainty; 2-D; 65; Asymptotic stability; Lyapunov methods; discrete systems; finite worldlength effects; linear matrix inequality; two-dimensional; uncertain systems;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2004.836880

Filename

1356173