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© 1999

Stability and Stabilization of Infinite Dimensional Systems with Applications

Benefits

  • 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

Book

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 1-14
  3. Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 15-107
  4. Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 109-164
  5. Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 165-257
  6. Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 259-308
  7. Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
    Pages 309-386
  8. Back Matter
    Pages 387-403

About this book

Introduction

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.

Keywords

Boundary Control Control Control Theory Feedback Stabilization Infinite-dimensional System Theory Semigroup Theory Sensor Stability Analysis Vibration modeling organization robot system

Authors and affiliations

  1. 1.Department of Mechanical EngineeringNagaoka University of TechnologyNagaoka, NiigataJapan
  2. 2.Department of Applied MathematicsBeijing Institute of TechnologyChina
  3. 3.Department of Electrical and Electronics EngineeringBilkent UniversityBilkent, AnkaraTurkey

Bibliographic information

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