Complete Solution to the General Robust Strictly Positive Real Synthesis Problem for Polynomial Segments

Details Complete Solution to the General Robust Strictly Positive Real Synthesis Problem for Polynomial Segments Complete Solution to the General Robust Strictly Positive Real Synthesis Problem for Polynomial Segments

2002-10-30

arxiv.org/abs/math/0210452v1

Mathematics

Optimization and Control

In this paper, a long-standing open problem in modern control theory has been constructively resolved

Scientific paper

For any two n-th order polynomials a(s) and b(s), the Hurwitz stability of
their convex combination is necessary and sufficient for the existence of a
polynomial c(s) such that c(s)/a(s) and c(s)/b(s) are both strictly positive
real.

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