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Application of Bernstein expansion to the solution of control problems

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Publication:1582464
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DOI10.1023/A:1009934614393zbMath0965.65095OpenAlexW1572998018MaRDI QIDQ1582464

Jürgen Garloff

Publication date: 2 August 2001

Published in: Reliable Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009934614393


zbMATH Keywords

sensitivitystabilitydampingnumerical examplesinterval analysisinterval arithmeticcontrol theoryBernstein expansionHurwitz-stabilitySchur-stabilitystrict polynomial inequalities


Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Numerical optimization and variational techniques (65K10) Robust stability (93D09) General methods in interval analysis (65G40)


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Computing the range of values of real functions using B-spline form ⋮ Formally-verified decision procedures for univariate polynomial computation based on Sturm's and Tarski's theorems ⋮ The Bernstein polynomial basis: a centennial retrospective ⋮ Global optimization of general nonconvex problems with intermediate polynomial substructures ⋮ An approximate method for solving fractional delay differential equations ⋮ Formalization of Bernstein polynomials and applications to global optimization



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