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Switched Time-Delay Systems

Stability and Control

  • Book
  • © 2010

Overview

Authors:
  1. Magdi S. Mahmoud

    1. Minerals (KFUPM), Dept. Systems Engineering, King Fahd University of Petroleum &, Dhahran, Saudi Arabia

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  • Presents a systematic and structured approach to the modeling, stability and control of switched time-delay systems
  • Combines the two fundamental attributes of switched time-delay systems: the system dynamics which processes an inherent time-delay and the system operational mode which undergoes switching among different modes
  • Integrates the main issues of switched systems in a systematic way
  • Includes supplementary material: sn.pub/extras

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xx
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  2. Mathematical Tools

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Magdi S. Mahmoud
      Pages 3-15

    3. Mathematical Foundations

      • Magdi S. Mahmoud
      Pages 17-32

  3. System Stability

    1. Front Matter

      Pages 33-33
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    2. Time-Delay Systems: Recent Progress

      • Magdi S. Mahmoud
      Pages 35-74

    3. Switched Systems

      • Magdi S. Mahmoud
      Pages 75-107

    4. Switched Time-Delay Systems

      • Magdi S. Mahmoud
      Pages 109-130

  4. Switched Stabilization and Control

    1. Front Matter

      Pages 131-131
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    2. Three-Term Stabilization Schemes

      • Magdi S. Mahmoud
      Pages 133-168

    3. Delay-Dependent Switched Control

      • Magdi S. Mahmoud
      Pages 169-219

  5. Switched Filtering

    1. Front Matter

      Pages 221-221
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    2. Delay-Dependent Switched Filtering

      • Magdi S. Mahmoud
      Pages 223-257

    3. Switched Kalman Filtering

      • Magdi S. Mahmoud
      Pages 259-293

  6. Switched Decentralized Control

    1. Front Matter

      Pages 295-295
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    2. Switched Decentralized Control

      • Magdi S. Mahmoud
      Pages 297-349

  7. Applications

    1. Front Matter

      Pages 351-351
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    2. Applications to Water-Quality Control

      • Magdi S. Mahmoud
      Pages 353-368

    3. Applications to Mutli-Rate Control

      • Magdi S. Mahmoud
      Pages 369-387

  8. Back Matter

    Pages 389-433
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Keywords

About this book

In many practical applications we deal with a wide class of dynamical systems that are comprised of a family of continuous-time or discrete-time subsystems and a rule orchestrating the switching between the subsystems. This class of systems is frequently called switched system. Switched linear systems provide a framework that bridges the linear systems and the complex and/or uncertain systems. The mo- vation for investigating this class of systems is twofold: ?rst, it has an inherent multi-modal behavior in the sense that several dynamical subsystems are required to describe their behavior, which might depend on various environmental factors. Second, the methods of intelligent control systems are based on the idea of swit- ing between different controllers. Looked at in this light, switched systems provide an integral framework to deal with complex system behaviors such as chaos and multiple limit cycles and gain more insights into powerful tools such as intelligent control, adaptive control, and robust control. Switched systems have been inves- gated for a long time in the control and systems literature and have increasingly attracted more attention for the past three decades. The number of journal articles, books, and conference papers have grown exponentially and a number of fundam- tal concepts and powerful tools have been developed. It has been pointed out that switched systems have been studied from various viewpoints.

Reviews

From the reviews:

“The monograph presents an introduction in the Lyapunov stability and control issues for switched time-delay systems. … It is a comprehensive up-to-date authoritative reference presenting systematically the Lyapunov stability, control, and filtering issues with complete mathematical proofs and illustrative examples. The book is primarily intended for researchers, engineers, and advanced postgraduate students working in switched time-delay systems and other related areas.” (Lubomír Bakule, Zentralblatt MATH, Vol. 1229, 2012)

“The book is mostly devoted to the stability problems and related topics (stabilization, control, and filtering). … The book is clearly written: the most important ideas are usually explained in … simple situations. Various parts of the book can be read to a large extent independently. The book may serve both as an introduction to the subject and as an exposition of recent results.” (V. G. Kurbatov, Mathematical Reviews, Issue 2012 h)

Authors and Affiliations

  • Minerals (KFUPM), Dept. Systems Engineering, King Fahd University of Petroleum &, Dhahran, Saudi Arabia

    Magdi S. Mahmoud

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