Robust SPR Synthesis for Low-Order Polynomial Segments and Interval Polynomials
Optimization and Control
2007-05-23 v1 Dynamical Systems
Abstract
We prove that, for low-order (n < 5) stable polynomial segments or interval polynomials, there always exists a fixed polynomial such that their ratio is SPR-invariant, thereby providing a rigorous proof of Anderson's claim on SPR synthesis for the fourth-order stable interval polynomials. Moreover, the relationship between SPR synthesis for low-order polynomial segments and SPR synthesis for low-order interval polynomials is also discussed.
Keywords
Cite
@article{arxiv.math/0202242,
title = {Robust SPR Synthesis for Low-Order Polynomial Segments and Interval Polynomials},
author = {Long Wang and Wensheng Yu},
journal= {arXiv preprint arXiv:math/0202242},
year = {2007}
}
Comments
A long-standing open problem is solved and extended