A model reduction method for a class of 2-D systems

Author

Azimi-Sadjadi, Mahmood R. ; Khorasani, Khashayar

Author_Institution

Dept. of Electr. Eng., Colorado State Univ., Fort Collins, CO, USA

Volume

39

Issue

1

fYear

1992

fDate

1/1/1992 12:00:00 AM

Firstpage

28

Lastpage

41

Abstract

A decomposition-aggregation scheme for reduction of dimensionality for a class of 2-D systems is introduced. This method, which is based upon the extension of the singular perturbation method in two dimensions, is used to decompose the original 2-D system into two reduced-order 2-D subsystems. These reduced order subsystems are shown to effectively capture the dynamical behavior of the original full-order system. Two numerical examples are provided that indicate the effectiveness of this method when used in image modeling applications

Keywords

multidimensional systems; perturbation theory; picture processing; decomposition-aggregation scheme; dimensionality; dynamical behavior; image modeling applications; reduced order 2D systems; singular perturbation method; Density functional theory; Equations; Image analysis; Image restoration; Observability; Perturbation methods; Pixel; Reduced order systems; Stability; Strips;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.109240

Filename

109240