Complete Solution to the General Robust Strictly Positive Real Synthesis Problem for Polynomial Segments
Optimization and Control
2012-03-24 v1 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.math/0210452,
title = {Complete Solution to the General Robust Strictly Positive Real Synthesis Problem for Polynomial Segments},
author = {Long Wang},
journal= {arXiv preprint arXiv:math/0210452},
year = {2012}
}
Comments
In this paper, a long-standing open problem in modern control theory has been constructively resolved