Overview
- 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
Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 312)
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About this book
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.
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Keywords
Table of contents (15 chapters)
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Front Matter
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Back Matter
Bibliographic Information
Book Title: Positive Polynomials in Control
Editors: Didier Henrion, Andrea Garulli
Series Title: Lecture Notes in Control and Information Sciences
DOI: https://doi.org/10.1007/b96977
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
Softcover ISBN: 978-3-540-23948-2Published: 14 January 2005
eBook ISBN: 978-3-540-31594-0Published: 04 August 2005
Series ISSN: 0170-8643
Series E-ISSN: 1610-7411
Edition Number: 1
Number of Pages: XII, 316
Topics: Control and Systems Theory, Control, Robotics, Mechatronics, Vibration, Dynamical Systems, Control, Systems Theory, Control, Algebraic Geometry