Editors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Differential-Algebraic Equations Forum (DAEF)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (5 chapters)
-
Front Matter
-
Back Matter
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.
Editors and Affiliations
-
Institut für Mathematik, Technische Universität Ilmenau, Ilmenau, Germany
Achim Ilchmann
-
Fachbereich Mathematik, Universität Hamburg, Hamburg, Germany
Timo Reis
Bibliographic Information
Book Title: Surveys in Differential-Algebraic Equations I
Editors: Achim Ilchmann, Timo Reis
Series Title: Differential-Algebraic Equations Forum
DOI: https://doi.org/10.1007/978-3-642-34928-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Softcover ISBN: 978-3-642-34927-0Published: 05 April 2013
eBook ISBN: 978-3-642-34928-7Published: 19 March 2013
Series ISSN: 2199-7497
Series E-ISSN: 2199-840X
Edition Number: 1
Number of Pages: VII, 231
Number of Illustrations: 13 b/w illustrations
Topics: Ordinary Differential Equations, Numerical Analysis, Systems Theory, Control