Lyapunov theory for nonstationary 2D systems

Author

Shafiee, Masoud

Author_Institution

Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA

fYear

1988

fDate

0-0 1988

Firstpage

563

Lastpage

567

Abstract

An extended Lyapunov theory is developed for checking the stability of nonstationary 2D digital filters. The development uses the wave model introduced by Porter and Aravena (1984). The analysis highlights the basic difficulty in stability studies for multidimensional systems. In utilizing the 1D nature of the wave model, the Lyapunov equations are time-variant, even for constant matrices in the Givone-Roesser model (Roesser, 1975). This time-variant characteristic invalidates the standard necessary and sufficient conditions available for stationary, 1D systems. However, it is shown that it is relatively straightforward to generate necessary or sufficient conditions.<>

Keywords

Lyapunov methods; filtering and prediction theory; stability; two-dimensional digital filters; extended Lyapunov theory; multidimensional systems; necessary and sufficient conditions; nonstationary 2D digital filters; stability; time-variant equations; wave model; Continuous time systems; Equations; Filters; Lyapunov method; Multidimensional systems; Stability analysis; Stability criteria; State-space methods; Sufficient conditions; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1988., Proceedings of the Twentieth Southeastern Symposium on

Conference_Location

Charlotte, NC, USA

ISSN

0094-2898

Print_ISBN

0-8186-0847-1

Type

conf

DOI

10.1109/SSST.1988.17114

Filename

17114