Approximation of transfer functions of infinite dimensional dynamical systems by rational interpolants with prescribed poles

DOI10.1006/jmaa.1999.6698zbMath0967.41008OpenAlexW2031175240MaRDI QIDQ1973952

Angel Ribalta Stanford, Guillermo López Lagomasino

Publication date: 28 August 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/6353

zbMATH Keywords

rational interpolation in complex domain

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20)

Related Items (2)

State space realizations of rational interpolants with prescribed poles ⋮ Interpolation by Cauchy-Vandermonde systems and applications

Cites Work

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• Rational approximation of a class of infinite-dimensional systems. II: Optimnal convergence rates of \(L_{\infty}\) approximants
• \(L_{\infty}\) approximation and nuclearity of delay systems
• On the zeros and poles of Padé approximants to \(e^z\)
• Rational wavelet decompositions of transfer functions in Hardy-Sobolev classes
• On the convergence of quadrature formulas connected with multipoint Padé-type approximation
• Convergence rates of Padé and Padé-type approximants
• Approximation of delay systems—a case study
• Rational interpolates with prescribed poles, theory and practice
• LONG-RANGE DEPENDENCE AND MIXING FOR DISCRETE TIME FRACTIONAL PROCESSES

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