Control theory, integral matrices, and orthogonal polynomials

DOI10.1134/S0081543821050126zbMath1482.93243OpenAlexW4205716139MaRDI QIDQ2071560

Alexander Ovseevich

Publication date: 28 January 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821050126

zbMATH Keywords

orthogonal polynomialsfeedback controlHilbert matrixcontrol of linear systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite-time stability (93D40)

Cites Work

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• Bounded feedback controls for linear dynamic systems by using common Lyapunov functions
• Congruence properties of the classical orthogonal polynomials
• Legendre polynomials and the elliptic genus
• Two congruence properties of Legendre polynomials
• A local feedback control bringing a linear system to equilibrium
• Congruence properties of the polynomials of Hermite, Laguerre and Legendre
• Tricks or Treats with the Hilbert Matrix
• A GENERAL APPROACH TO THE SOLUTION OF THE BOUNDED CONTROL SYNTHESIS PROBLEM IN A CONTROLLABILITY PROBLEM
• Asymptotic control theory for a system of linear oscillators

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