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  • Book
  • © 1999

Stability and Stabilization of Infinite Dimensional Systems with Applications

  • Special emphasis is placed on second order partial differential equations
  • New and valuable source of information, together in one volume for the first time
  • A well rounded study of recent achievements in stability and stabilization of infinite dimensional systems

Part of the book series: Communications and Control Engineering (CCE)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 1-14
  3. Semigroups of Linear Operators

    • Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 15-107
  4. Stability of C0-Semigroups

    • Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 109-164
  5. Static Sensor Feedback Stabilization of Euler-Bernoulli Beam Equations

    • Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 165-257
  6. Dynamic Boundary Control of Vibration Systems Based on Passivity

    • Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 259-308
  7. Other Applications

    • Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 309-386
  8. Back Matter

    Pages 387-403

About this book

This book reports on recent achievements in stability and feedback stabilization of infinite systems. In particular emphasis is placed on second order partial differential equations, such as Euler-Bernoulli beam equations, which arise from vibration control of flexible robots arms and large space structures. Various control methods such as sensor feedback control and dynamic boundary control are applied to stabilize the equations.

Many new theorems and methods are included in the book. Proof procedures of existing theorems are simplified, and detailed proofs have been given to most theorems.


New results on semigroups and their stability are presented, and readers can learn several useful techniques for solving practical engineering problems. 


Until now, the recently obtained research results included in this book were unavailable in one volume. This self-contained book is an invaluable source of information for all those who are familiar with some basic theorems of functional analysis.

Authors and Affiliations

  • Department of Mechanical Engineering, Nagaoka University of Technology, Nagaoka, Niigata, Japan

    Zheng-Hua Luo

  • Department of Applied Mathematics, Beijing Institute of Technology, China

    Bao-Zhu Guo

  • Department of Electrical and Electronics Engineering, Bilkent University, Bilkent, Ankara, Turkey

    Omer Morgul

Bibliographic Information

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access