BIBO stability of multidimensional (mD) shift-invariant discrete systems

Author

Bauer, P. ; Jury, E.I.

Author_Institution

Dept. of Electr. Eng., Notre Dame Univ., IN, USA

Volume

36

Issue

9

fYear

1991

fDate

9/1/1991 12:00:00 AM

Firstpage

1057

Lastpage

1061

Abstract

BIBO stability of 1-D and multidimensional (mD) shift-varying discrete systems is analyzed. The test for one particular shift-varying mD system involves one mD linear shift-invariant stability test only. The stability conditions derived also provides insight into robustness and margin of stability of the shift-varying system. Two classes of systems are investigated: (1) shift-varying discrete direct realization systems and (2) shift-varying discrete state space realization systems. The results extend an implication of the Perron-Frobenius theorem from 1-D shift-invariant systems to shift-invariant and/or multidimensional systems

Keywords

discrete systems; linear systems; multidimensional systems; stability; BIBO stability; Perron-Frobenius theorem; linear shift-invariant stability test; multidimensional systems; one dimensional system; realization systems; shift-invariant discrete systems; state space realization systems; Algebra; Automatic control; Circuits; Control systems; Convolution; Feedback; Jacobian matrices; Multidimensional systems; Robust stability; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.83537

Filename

83537