Stability of multidimensional systems: overview and new results

Author

Tzafestas, S.G. ; Theodorou, N.J. ; Kanellakis, A.

Author_Institution

Dept. of Electr. Eng., Nat. Tech. Univ., Athens, Greece

fYear

1988

Firstpage

337

Abstract

Most of the stability results of 2-D discrete systems using the Lyapunov method and the state-space approach are reviewed. The stability of m-dimensional systems is studied through classification of various regions of analyticity, and several theorems and algebraic tests for checking these regions are reviewed. A stability test is presented for two-dimensional systems using the bilinear continued fraction expansion. Numerical examples are presented which support the results. The present study is pertinent to the analysis of the stability of two-dimensional filters, used extensively in image processing.<>

Keywords

Lyapunov methods; discrete systems; multidimensional systems; stability; state-space methods; 2-D discrete systems; Lyapunov method; analyticity; bilinear continued fraction expansion; image processing; m-dimensional systems; multidimensional systems; state-space approach; two-dimensional filters; two-dimensional systems; Convergence; Convolution; Difference equations; Discrete transforms; Filters; Large scale integration; Multidimensional systems; Stability; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1988., IEEE International Symposium on

Conference_Location

Espoo, Finland

Type

conf

DOI

10.1109/ISCAS.1988.14934

Filename

14934