Positive Polynomials in Control
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Beschreibung
Positive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003 and gives a comprehensive overview of existing results in this quickly emerging area. This carefully edited book collects important contributions from several fields of control, optimization, and mathematics, in order to show different views and approaches of polynomial positivity. The book is organized in three parts, reflecting the current trends in the area: 1. applications of positive polynomials and LMI optimization to solve various control problems, 2. a mathematical overview of different algebraic techniques used to cope with polynomial positivity, 3. numerical aspects of positivity of polynomials, and recently developed software tools which can be employed to solve the problems discussed in the book.
Collects important contributions from the quickly emerging field of polynomial positivity Originates from an invited session presented at the IEEE CDC 2003 Includes supplementary material: sn.pub/extras
Autor*in
Didier Henrion
Themen in »Positive Polynomials in Control«
Algebraic Geometry Convex Optimization Linear Matrix Inequalities Polynomials Session Systems Control Trend algorithms linear optimization optimization stability