On the computation of the Cauchy index
Open Access
- 1 January 1972
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 29 (4) , 577-582
- https://doi.org/10.1090/qam/403746
Abstract
The Cauchy index of a real rational function can be computed by evaluating the signature of a certain Hankel matrix. Alternative procedures for its computation are presented here, one of which offers greater computational simplicity.Keywords
This publication has 6 references indexed in Scilit:
- Sur le nombre des racines d'une equation algébrique comprises entre des limites donnéesPublished by Cambridge University Press (CUP) ,2009
- Bezoutiants, Elimination and LocalizationSIAM Review, 1970
- Application of the Second Method of Lyapunov to the Proof of the Markov Stability CriterionInternational Journal of Control, 1967
- On the Hermite-Fujiwara theorem in stability theoryQuarterly of Applied Mathematics, 1965
- A new proof of the Routh-Hurwitz stability criterion using the second method of LiapunovMathematical Proceedings of the Cambridge Philosophical Society, 1962
- Investigating linear systems of automatic control by means of the determinant stability margin indicesIFAC Proceedings Volumes, 1960