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Are right-half plane zeros necessary for inverse response? It depends…

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Everyone knows that right-half plane zeros are associated with inverse response of (continuous time) linear systems. It is known that the presence of a real right-half plane zero is sufficient for inverse response to exist, and it is easy to demonstrate that complex right-half plane zeros are not sufficient to produce inverse response. So the question arises: are right-half plane zeros even necessary for inverse response to exist? The short, but incomplete, answer, is “no”. Counter-examples have been generated by using the Levinson-Durbin parametrisation of Schur-stable polynomials together with a standard bilinear transformation.

This talk is part of the CUED Control Group Seminars series.

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