Stability analysis of special polynomials constructed from the classical orthogonal polynomials with provision for parametric uncertainty

DOI10.1134/S0005117911050018zbMath1235.33009MaRDI QIDQ664253

Yu. P. Nikolaev

Publication date: 1 March 2012

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

Chebyshev polynomialsGegenbauer polynomialsHermite polynomialsLegendre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47)

Related Items (1)

Geometry of the multidimensional stability domain in the space of even (odd) coefficients of the characteristic polynomial of linear systems

Cites Work

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• Multidimensional stability domain of special polynomial families
• Some sufficient conditions for stability and instability of continuous linear stationary systems
• On convex directions for stable polynomials
• Necessary conditions for the stability of polynomials and their use
• Stability conditions for polytopes of polynomials

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