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Novel Feedback Theory of Electric Circuits—Part I: Cut-Based Decomposition

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1 Author(s)
Lorenzo Codecasa ; Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milan, Italy

In this paper and in its companion, a novel cut-based decomposition for transfer functions of linear time-invariant circuits is introduced and an invariance property, with respect to the cut, is proven for the set of quantities introduced by this cut-based decomposition. These results naturally lead to a novel feedback theory of electric circuits which, unlike Bode's feedback theory, is based on the unambiguous decomposition of transfer functions. Such feedback theory provides a natural extension to the elementary model of feedback amplifiers based on block diagrams, from system theory to circuit theory, and a natural extension to Blackman's formula.

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IEEE Transactions on Circuits and Systems I: Regular Papers  (Volume:59 ,  Issue: 7 )