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  • Book
  • © 2005

Positive Polynomials in Control

  • 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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Table of contents (15 chapters)

  1. Front Matter

  2. Control Applications of Sum of Squares Programming

    • Zachary Jarvis-Wloszek, Ryan Feeley, Weehong Tan, Kunpeng Sun, Andrew Packard
    Pages 3-22
  3. Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition

    • Antonis Papachristodoulou, Stephen Prajna
    Pages 23-43
  4. A Sum-of-Squares Approach to Fixed-Order H∞-Synthesis

    • C.W.J. Hol, C.W. Scherer
    Pages 45-71
  5. An LMI-Based Technique for Robust Stability Analysis of Linear Systems with Polynomial Parametric Uncertainties

    • Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino
    Pages 87-101
  6. Stabilization of LPV Systems

    • Pierre-Alexandre Bliman
    Pages 103-117
  7. On the Equivalence of Algebraic Approaches to the Minimization of Forms on the Simplex

    • Etienne de Klerk, Monique Laurent, Pablo Parrilo
    Pages 121-132
  8. Polynomials Positive on Unbounded Rectangles

    • Victoria Powers, Bruce Reznick
    Pages 151-163
  9. Stability of Interval Two–Variable Polynomials and Quasipolynomials via Positivity

    • Dragoslav D. Å iljak, DuÅ¡an M. Stipanović
    Pages 165-177
  10. Interior-Point Algorithms for Semidefinite Programming Problems Derived from the KYP Lemma

    • Lieven Vandenberghe, V. Ragu Balakrishnan, Ragnar Wallin, Anders Hansson, Tae Roh
    Pages 195-238
  11. SOSTOOLS and Its Control Applications

    • Stephen Prajna, Antonis Papachristodoulou, Peter Seiler, Pablo A. Parrilo
    Pages 273-292
  12. Detecting Global Optimality and Extracting Solutions in GloptiPoly

    • Didier Henrion, Jean-Bernard Lasserre
    Pages 293-310
  13. Back Matter

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.

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access