Title :
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
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;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.14934
