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© 2009

Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems

Book

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 390)

Table of contents

  1. Front Matter
  2. Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino
    Pages 1-37
  3. Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino
    Pages 39-61
  4. Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino
    Pages 63-97
  5. Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino
    Pages 99-132
  6. Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino
    Pages 133-153
  7. Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino
    Pages 155-175
  8. Back Matter

About this book

Keywords

Control Engineering Hilbert’s 17th Problem Robust Analysis Robust Control SOS Polynomials Time-invariant Uncertainty Time-varying Uncertainty Uncertain Systems algorithms optimization

Authors and affiliations

  1. 1.Department of Electrical andUniversity of Hong Kong Electronic EngineeringHong KongP.R. China
  2. 2.Dipartimento di Ingegneria, dell’InformazioneUniversità di SienaSienaItaly
  3. 3.Facoltà di Ingegneria, Dipartimento di Sistemi e InformaticaUniversità di FirenzeFirenzeItaly

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Reviews

From the reviews:

“The book describes convex optimization techniques to deal with stability and performance evaluation for linear dynamical systems subject to parametric uncertainty. … In summary, the book is a welcome and timely addition to the technical literature, written by leading experts in the field. It is aimed at systems and control researchers willing to explore further than mainstream LMI Lyapunov analysis techniques, with the possibility of trading off between conservatism and computational burden.”­­­ (Didier Henrion, Mathematical Reviews, Issue 2010 g)