Are righthalf plane zeros necessary for inverse response? It depends…
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Everyone knows that righthalf plane zeros are associated with inverse response of (continuous time) linear systems. It is known that the presence of a real righthalf plane zero is sufficient for inverse response to exist, and it is easy to demonstrate that complex righthalf plane zeros are not sufficient to produce inverse response. So the question arises: are righthalf plane zeros even necessary for inverse response to exist? The short, but incomplete, answer, is “no”. Counterexamples have been generated by using the LevinsonDurbin parametrisation of Schurstable polynomials together with a standard bilinear transformation.
This talk is part of the CUED Control Group Seminars series.
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