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.
| Author: | Tareq Hamadneh |
|---|---|
| URL: | http://urn:nbn:de:bsz:352-2-1b4w1bae5w20e2 |
| Referee: | Jürgen GarloffORCiDGND, Marie-Francoise RoyGND |
| Document Type: | Doctoral Thesis |
| Language: | English |
| Year of Publication: | 2018 |
| Granting Institution: | Universität 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 |
