© 2015

Linear Parameter-Varying and Time-Delay Systems

Analysis, Observation, Filtering & Control


Part of the Advances in Delays and Dynamics book series (ADVSDD, volume 3)

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Linear Parameter-Varying Systems

    1. Front Matter
      Pages 1-1
    2. Corentin Briat
      Pages 3-36
    3. Corentin Briat
      Pages 37-92
    4. Corentin Briat
      Pages 93-119
  3. Time-Delay Systems

    1. Front Matter
      Pages 121-121
    2. Corentin Briat
      Pages 123-164
    3. Corentin Briat
      Pages 165-242
  4. Linear Parameter-Varying Time-Delay Systems

    1. Front Matter
      Pages 243-243
    2. Corentin Briat
      Pages 245-264
    3. Corentin Briat
      Pages 293-333
  5. Back Matter
    Pages 335-394

About this book


This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.


Analysis and Control of Delay Systems Analysis and Control of LPV Systems Robust Analysis and Control of Delay Systems Robust Analysis and Control of Uncertain Linear Systems Time-Delay Systems

Authors and affiliations

  1. 1.Department of Biosystems Science and EngineeringSwiss Federal Institute of Technology--ZurichBaselSwitzerland

Bibliographic information

  • Book Title Linear Parameter-Varying and Time-Delay Systems
  • Book Subtitle Analysis, Observation, Filtering & Control
  • Authors Corentin Briat
  • Series Title Advances in Delays and Dynamics
  • Series Abbreviated Title Advs in Delays, Dynamics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-662-44049-0
  • Softcover ISBN 978-3-662-51177-0
  • eBook ISBN 978-3-662-44050-6
  • Series ISSN 2197-117X
  • Series E-ISSN 2197-1161
  • Edition Number 1
  • Number of Pages XXV, 394
  • Number of Illustrations 72 b/w illustrations, 0 illustrations in colour
  • Topics Control and Systems Theory
    Systems Theory, Control
  • Buy this book on publisher's site


“This book is a self-contained monograph that provides a large collection of results on linear parameter-varying (LPV) systems. The book is of interest to mathematicians and engineers working on LPV systems and/or time-delay control systems.” (Iasson Karafyllis, Mathematical Reviews, November, 2015)