Wave Progagation, Observation and Control in 1-d Flexible Multi-Structures

  • René Dáger
  • Enrique Zuazua

Part of the Mathématiques et Applications book series (MATHAPPLIC, volume 50)

Table of contents

About this book

Introduction

This volume presents a detailed study of partial differential equations on planar graphs modeling networked flexible mechanical structures. Special emphasis is laid on the understanding of wave propagation phenomena, through the analysis of the problems of observability and controllability from small regions of the graph or its boundary. Some of these results are extended to the heat, beam and Schrödinger equations on planar graphs. Designed as a self-contained introductory course on control and observation of networks, the volume contains also some advanced topics and new techniques which may be of interest for researchers in this area. It also includes a list of open problems and topics for future research.

Keywords

control theory multi-structures partial differential equation partial differential equations on graphs string-network wave equation

Authors and affiliations

  • René Dáger
    • 1
  • Enrique Zuazua
    • 2
  1. 1.Departamento de Matemática AplicadaUniversidad Complutense de MadridMadridSpain
  2. 2.Departamento de Matemáticas Facultad de Ciencias, C-XVUniversidad Autónoma de Madrid CantoblancoMadridSpain

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-37726-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-27239-7
  • Online ISBN 978-3-540-37726-9
  • Series Print ISSN 1154-483X
  • About this book
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