Characterization of robust root loci of polytopes of polynomials

DOI10.1007/BF02088821zbMath0864.65033OpenAlexW1997712957MaRDI QIDQ2564863

Jyh-Jia Chen, Hwang, Chyi

Publication date: 7 January 1997

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02088821

zbMATH Keywords

algorithmnumerical examplespolynomialspolytopecomplex planeroot locus problem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (1)

Generation of robust root loci for linear systems with parametric uncertainties in an ellipsoid

Cites Work

• Unnamed Item
• Unnamed Item
• The robust root locus
• Root locations of an entire polytope of polynomials: It suffices to check the edges
• Generalized edge theorem
• An elementary proof of Kharitonov's stability theorem with extensions
• A necessary and sufficient condition for Schur invariance and generalized stability of polytopes of polynomials
• A generalization of Kharitonov's theorem; Robust stability of interval plants
• A generalization of Kharitonov's four-polynomial concept for robust stability problems with linearly dependent coefficient perturbations
• Necessary and sufficient conditions for absolute stability of linearn-ports
• Simple pivoting algorithm for root-locus method of linear systems with delay
• Robust stability analysis of polynomials with linearly dependent coefficient perturbations
• Characterization of zero locations of polytopes of real polynomials
• On the spectral set for a family of polynomials

This page was built for publication: Characterization of robust root loci of polytopes of polynomials