TY - THES U1 - Dissertation / Habilitation A1 - Hamadneh, Tareq T1 - Bounding Polynomials and Rational Functions in the Tensorial and Simplicial Bernstein Forms N2 - 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. KW - Bernstein Basis KW - Numerical Optimization KW - Control Theory Y2 - 2018 UR - http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1b4w1bae5w20e2 SP - 153 S1 - 153 ER -