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Limits of Stability and Stabilization of Time-Delay Systems

A Small-Gain Approach

  • Book
  • © 2018

Overview

Authors:
  1. Jing Zhu

    1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

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  2. Tian Qi

    1. Center for Control and Optimization, South China University of Technology, Guangzhou, China

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  3. Dan Ma

    1. College of Information Science and Engineering, Northeastern University, Shenyang, China

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  4. Jie Chen

    1. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, Hong Kong

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  • Presents a study on fundamental limits ?and robustness of stability and stabilization of time-delay systems
  • Conveys new topics such as networked control and multi-agent systems
  • Written by experts in the field

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Introduction

    • Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 1-19

  3. Mathematical Background

    • Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 21-42

  4. Small-Gain Stability Conditions

    • Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 43-70

  5. Delay Margin

    • Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 71-93

  6. Stabilization of Linear Systems with Time-Varying Delays

    • Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 95-107

  7. Delay Margin Achievable by PID Controllers

    • Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 109-143

  8. Delay Radius of MIMO Delay Systems

    • Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 145-165

  9. Stabilization of Networked Delay Systems

    • Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 167-186

  10. Consensus of Multi-agent Systems Under Delay

    • Jing Zhu, Tian Qi, Dan Ma, Jie Chen
    Pages 187-208

  11. Back Matter

    Pages 209-219
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Keywords

About this book

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. 

Authors and Affiliations

  • College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

    Jing Zhu

  • Center for Control and Optimization, South China University of Technology, Guangzhou, China

    Tian Qi

  • College of Information Science and Engineering, Northeastern University, Shenyang, China

    Dan Ma

  • Department of Electronic Engineering, City University of Hong Kong, Hong Kong, Hong Kong

    Jie Chen

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