© 2013

Surveys in Differential-Algebraic Equations I

  • Achim Ilchmann
  • Timo Reis
  • A collection of survey articles, covering a broad spectrum of areas related to DAEs, each of which presented in an individual chapter

  • Unique in the sense that other books provide rather an introduction to the principles of DAEs

  • Suitable not only for graduate students for self-study but also for active researchers by dealing with specific aspects of particular fields of DAEs


Part of the Differential-Algebraic Equations Forum book series (DAEF)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Nguyen Huu Du, Vu Hoang Linh, Volker Mehrmann
    Pages 63-95
  3. Ricardo Riaza
    Pages 97-136
  4. Stephan Trenn
    Pages 137-172
  5. A. J. van der Schaft
    Pages 173-226
  6. Back Matter
    Pages 227-231

About this book


The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature for DAEs mainly started out from introductory textbooks.

As such, the present monograph is new in the sense that it comprises survey articles on various fields of DAEs, providing reviews, presentations of the current state of research and new concepts in

-  Controllability for linear DAEs

-  Port-Hamiltonian differential-algebraic systems

-  Robustness of DAEs

-  Solution concepts for DAEs

-  DAEs in circuit modeling.

The results in the individual chapters 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.


Control Differential-Algebraic Equations Modeling Numerical Analysis

Editors and affiliations

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

Bibliographic information