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

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.<
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