Title :
One more counterexample in n-D systems-unimodular versus elementary operations
Author_Institution :
Inst. of Inf. Theory & Autom., Czechoslovak Acad. of Sci., Prague, Czechoslovakia
fDate :
5/1/1988 12:00:00 AM
Abstract :
By a simple counterexample, it is shown that there are unimodular matrices which cannot be written as products of elementary matrices in the ring of n-D polynomials. As a consequence, some methods for the solution of n-D matrix polynomial equations published recently, which are based on the elementary operations in the ring of n-D polynomials, do not work
Keywords :
matrix algebra; polynomials; elementary matrices; n-D matrix polynomial equations; unimodular matrices; Automation; Control design; Control systems; Equations; Information theory; Polynomials;
Journal_Title :
Automatic Control, IEEE Transactions on