A new formulation of the Hermite criterion
- 1 April 1974
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 19 (4), 757-764
- https://doi.org/10.1080/00207177408932670
Abstract
The Routh algorithm is used to generate the parameters of the Hermite criterion, The new formulation is simpler than the original. The relationship among the Hermite, the symmetrical Hurwitz, the Kalman-Bertram, and the Routh criteria is naturally established.Keywords
This publication has 9 references indexed in Scilit:
- The reduced hermite criterion with application to proof of the Liénard-Chipart criterionIEEE Transactions on Automatic Control, 1972
- Some remarks on simplified stability criteria for continuous linear systemsIEEE Transactions on Automatic Control, 1972
- Canonical form for the matrices of linear discrete-time systemsProceedings of the Institution of Electrical Engineers, 1969
- A matrix for evaluating Schwarz's formIEEE Transactions on Automatic Control, 1966
- An Explicit Solution to the Fokker-Planck Equation for an Ordinary Differential Equation†International Journal of Control, 1965
- Second method of Liapunov and Routh's canonical formJournal of the Franklin Institute, 1963
- A new proof of the Routh-Hurwitz stability criterion using the second method of LiapunovMathematical Proceedings of the Cambridge Philosophical Society, 1962
- A symmetric matrix formulation of the Hurwitz-Routh stability criterionIRE Transactions on Automatic Control, 1962
- Ein Verfahren zur Stabilitätsfrage bei Matrizen-EigenwertproblemenZeitschrift für angewandte Mathematik und Physik, 1956