Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
- 1 January 1983
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 353-355
- https://doi.org/10.1109/cdc.1983.269858
Abstract
Given a strictly Hurwitz polynomial f(λ) = λn+ an-1λn-1+an-2λn-2+...+a1λ+a0, it is of interest to know how much the coefficients ai can be perturbed while simultaneously preserving the strict Hurwitz property. For systems with n ≤ 4, maximal intervals of the ai are given in a recent paper by Guiver and Bose [1]. In this note, a theorem of Kharitonov is exploited to obtain a general result for polynomials of any degree.Keywords
This publication has 1 reference indexed in Scilit:
- Strictly Hurwitz property invariance of quartics under coefficient perturbationIEEE Transactions on Automatic Control, 1983