Abstract
The state-space characterization of a linear timeinvariant system can be viewed in terms of a general multiple-loop feedback configuration. The return difference matrix and the null return difference matrix with respect to the <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">A</tex> matrix are derived and related to the poles and zeros of the transfer function. A useful formula for sensitivity of the transfer function with respect to an element of the <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">A</tex> matrix is also obtained.
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