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Table of contents

  1. Front Matter
  2. Zachary Jarvis-Wloszek, Ryan Feeley, Weehong Tan, Kunpeng Sun, Andrew Packard
    Pages 3-22
  3. Antonis Papachristodoulou, Stephen Prajna
    Pages 23-43
  4. C.W.J. Hol, C.W. Scherer
    Pages 45-71
  5. Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino
    Pages 87-101
  6. Pierre-Alexandre Bliman
    Pages 103-117
  7. Etienne de Klerk, Monique Laurent, Pablo Parrilo
    Pages 121-132
  8. Victoria Powers, Bruce Reznick
    Pages 151-163
  9. Dragoslav D. Šiljak, Dušan M. Stipanović
    Pages 165-177
  10. Lieven Vandenberghe, V. Ragu Balakrishnan, Ragnar Wallin, Anders Hansson, Tae Roh
    Pages 195-238
  11. Stephen Prajna, Antonis Papachristodoulou, Peter Seiler, Pablo A. Parrilo
    Pages 273-292
  12. Didier Henrion, Jean-Bernard Lasserre
    Pages 293-310
  13. Back Matter

About this book

Introduction

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.

Keywords

Algebraic Geometry Convex Optimization Linear Matrix Inequalities Polynomials Session Systems Control Trend algorithms linear optimization optimization stability

Bibliographic information

  • DOI https://doi.org/10.1007/b96977
  • Copyright Information Springer-Verlag Berlin/Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-23948-2
  • Online ISBN 978-3-540-31594-0
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • Buy this book on publisher's site