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Limits of Stability and Stabilization of Time-Delay Systems

A Small-Gain Approach

  • Jing Zhu
  • Tian Qi
  • Dan Ma
  • Jie Chen
Book

Part of the Advances in Delays and Dynamics book series (ADVSDD, volume 8)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 1-19
  3. Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 21-42
  4. Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 43-70
  5. Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 71-93
  6. Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 95-107
  7. Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 109-143
  8. Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 145-165
  9. Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 167-186
  10. Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 187-208
  11. Back Matter
    Pages 209-219

About this book

Introduction

This authored monograph presents a study on fundamental limits and robustness of stability and stabilization of time-delay systems, with an emphasis on time-varying delay, robust stabilization, and newly emerged areas such as networked control and multi-agent systems. The authors systematically develop an operator-theoretic approach that departs from both the traditional algebraic approach and the currently pervasive LMI solution methods. This approach is built on the classical small-gain theorem, which enables the author to draw upon powerful tools and techniques from robust control theory. The book contains motivating examples and presents mathematical key facts that are required in the subsequent sections. The target audience primarily comprises researchers and professionals in the field of control theory, but the book may also be beneficial for graduate students alike. 

Keywords

Small gain stability conditions Uncertainty modeling Delay margin Stabilization of linear systems Delay radius of MIMO delay systems Networked delay systems

Authors and affiliations

  • Jing Zhu
    • 1
  • Tian Qi
    • 2
  • Dan Ma
    • 3
  • Jie Chen
    • 4
  1. 1.College of Automation EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.Center for Control and OptimizationSouth China University of TechnologyGuangzhouChina
  3. 3.College of Information Science and EngineeringNortheastern UniversityShenyangChina
  4. 4.Department of Electronic EngineeringCity University of Hong KongHong KongHong Kong

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-73651-8
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-73650-1
  • Online ISBN 978-3-319-73651-8
  • Series Print ISSN 2197-117X
  • Series Online ISSN 2197-1161
  • Buy this book on publisher's site
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