Table of contents

  1. Front Matter
    Pages i-ix
  2. Martin Arnold
    Pages 41-106
  3. Thomas Berger, Timo Reis, Stephan Trenn
    Pages 161-219
  4. Back Matter
    Pages 301-305

About this book

Introduction

The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in 

- History of DAEs 
- DAE aspects of mechanical multibody systems 
- Model reduction of DAEs 
- Observability for DAEs 
- Numerical Analysis for DAEs

The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Keywords

differential-algebraic equations numerical analysis modeling control simulation of systems in mechanical multibody dynamics

Editors and affiliations

  • Achim Ilchmann
    • 1
  • Timo Reis
    • 2
  1. 1.Institut für MathematikTechnische Universität IlmenauIlmenauGermany
  2. 2.Fachbereich MathematikUniversität HamburgHamburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-46618-7
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-46617-0
  • Online ISBN 978-3-319-46618-7
  • Series Print ISSN 2199-7497
  • Series Online ISSN 2199-840X
  • About this book