| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 752019 | Systems & Control Letters | 2011 | 6 Pages |
Abstract
In this paper, a stability criterion based on counting the real roots of two specific polynomials is formulated. To establish this result, it is shown that a hyperbolicity condition and a strict positivity of a polynomial Wronskian are necessary and sufficient for the stability of any real polynomial. This result is extended to the stability study of some linear combinations of polynomials. Necessary and sufficient conditions of stability are obtained for polynomial segments and planes.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Christophe Fonte, Cédric Delattre,