Stability of a Hurwitz polynomial under coefficient perturbations: necessary and sufficient conditions
- 1 February 1987
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 45 (2) , 739-744
- https://doi.org/10.1080/00207178708933765
Abstract
Necessary and sufficient conditions for a perturbed polynomial to remain Hurwitz are given. The conditions allow considerable freedom in allocating different weights to various coefficients to reflect different levels of uncertainty in the coefficients. The new conditions are an extension of a previous result of the author in which sufficient conditions for the same problem were obtained.Keywords
This publication has 4 references indexed in Scilit:
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- Stability of polynomials under coefficient perturbationIEEE Transactions on Automatic Control, 1985
- Invariance of the strict Hurwitz property for polynomials with perturbed coefficientsIEEE Transactions on Automatic Control, 1984
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