Stability and Stabilization of Infinite Dimensional Systems with Applications
By: by Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul
Contributors: Guo, Bao-Zhu; Morgul, Omer
Series: Communications and Control Engineering; Communications and control engineering
Publisher: Springer London
Published: 1999
Place of publication: London
Language: eng
Format: [electronic resource] /
Number of pages: 403
ISBN-13: 9781447111368; 9781447104193
Subjects: Engineering; Systems theory
Description: 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 robot 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. In addition to benefiting from the presentation of new results on semigroups and their stability, readers can also 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.
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Table of contents: title: Introduction; title: Semigroups of Linear Operators; title: Stability of C0 - Semigroups; title: Static Sensor Feedback Stabilization of Euler-Bernoulli Beam Equations; title: Dynamic Boundary Control of Vibration Systems Based on Passivity; title: Other Applications; title: Bibliography; title: Index.