Construction of stable inverses for linear systems

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Abstract
In this paper we study the problem of constructing stable (right) inverses for linear time-invariant multivariable systems. We show how the poles of an inverse which are ‘ invariant ’ and therefore common to all inverses of a given system can be determined. A method is described which allows us to position the remaining non-invariant- poles at any desired locations in the complex plane, so that if the invariant poles are all stable, we can construct stable inverses. Some examples are given to illustrate the main results of the paper.

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