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Bounding Polynomials and Rational Functions in the Tensorial and Simplicial Bernstein Forms

  • This thesis considers bounding functions for multivariate polynomials and rational functions over boxes and simplices. It also considers the synthesis of polynomial Lyapunov functions for obtaining the stability of control systems. Bounding the range of functions is an important issue in many areas of mathematics and its applications like global optimization, computer aided geometric design, robust control etc.

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Author:Tareq Hamadneh
Referee:J├╝rgen GarloffORCiDGND, Marie-Francoise RoyGND
Document Type:Doctoral Thesis
Year of Publication:2018
Granting Institution:Universit├Ąt Konstanz
Date of final exam:2018/01/08
Release Date:2018/12/11
Tag:Bernstein Basis; Numerical Optimization; Control Theory
Page Number:153
DDC functional group:510 Mathematik
Open Access?:Ja
Relevance:Abgeschlossene Dissertation