English

Robust Strictly Positive Real Synthesis for Polynomial Families of Arbitrary Order

Optimization and Control 2007-05-23 v1 Dynamical Systems

Abstract

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

Keywords

Cite

@article{arxiv.math/0211012,
  title  = {Robust Strictly Positive Real Synthesis for Polynomial Families of Arbitrary Order},
  author = {Long Wang},
  journal= {arXiv preprint arXiv:math/0211012},
  year   = {2007}
}