Results on positive pairs of polynomials and their application to the construction of stability domains
- 1 July 1987
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 46 (1), 153-159
- https://doi.org/10.1080/00207178708933889
Abstract
The real polynomial f(s) = h(s2) + sg(s2)is Hurwitz if and only if (h, g– forms a so-called ‘positive pair’ of polynomials. In this paper, conditions are given that ensure that some polynomials h(λ) and g(λ) form a positive pair and then it is shown how these results can be applied to the construction of some stability domains. These Hurwitz regions will be exactly described by linear inequalities.Keywords
This publication has 4 references indexed in Scilit:
- Stability of families of polynomials: geometric considerations in coefficient spaceInternational Journal of Control, 1987
- Convex combinations of stable polynomialsJournal of the Franklin Institute, 1985
- A system-theoretic approach to stability of sets of polynomialsContemporary Mathematics, 1985
- Ein neues Verfahren zur Beurteilung der Stabilität linearer Regelungs‐SystemeZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1947