Title :
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
fDate :
9/1/1991 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
