A family of necessary stability inequalities via quadratic forms

Link:
Autor/in:
Verlag/Körperschaft:
Hamburg University of Technology
Erscheinungsjahr:
2011
Medientyp:
Text
Schlagworte:
  • Cauchy index
  • Interval polynomial
  • Quadratic forms
  • Stability conditions
  • 004: Informatik
  • 510: Mathematik
Beschreibung:
  • Inequalities relating three coefficients of the even or odd part of a Hurwitz-stable polynomial have been established recently via the Newton-MacLaurin inequalities, and via optimization techniques for multivariate functions on the positive orthant. From the theory of quadratic forms we derive a family of strict inequalities which includes and generalizes the known inequalities. For polynomials of higher degree quantifiable improvements are obtained. Benefit of these inequalities is low-cost instability testing for polynomials with varying coefficients. © by Element.
Beziehungen:
DOI 10.7153/mia-14-25
Quellsystem:
TUHH Open Research
Interne Metadaten
Quelldatensatz
oai:tore.tuhh.de:11420/7924