Allowable coefficient perturbations with preserved stability of a Hurwitz polynomial†
- 1 October 1986
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 44 (4) , 927-934
- https://doi.org/10.1080/00207178608933643
Abstract
Given a polynomial P(s) = ansn + an−11Sn−1 + … -+ a1s + a0 which satisfies the Routh-Hurwitz criterion, a procedure is given for finding non-conservative upper bounds on the allowable variations of the coefficients such that the perturbed polynomial maintains the stability property.Keywords
This publication has 3 references indexed in Scilit:
- Invariance of the strict Hurwitz property for polynomials with perturbed coefficientsIEEE Transactions on Automatic Control, 1984
- Linear system stability under parameter uncertaintiesInternational Journal of Control, 1983
- Strictly Hurwitz property invariance of quartics under coefficient perturbationIEEE Transactions on Automatic Control, 1983