Abstract
The inversion of linear time-invariant systems is studied here on the basis of the matrix-fraction description (MFD) of linear systems and Fuhrmann's module-theoretic approach of realizing them. It has been shown that the states reached at time t = 1 starting from a zero initial state construct the numerator matrix of the right inverse system. Based on the above constructive procedure of an inverse, a necessary and sufficient condition is given for k-integral (right) invertibility of linear systems over a commutive ring with identity.
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