Surveys in Differential-Algebraic Equations I
Editors: Ilchmann, Achim, Reis, Timo (Eds.)
Free Preview- 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
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- About this book
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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.
- Table of contents (5 chapters)
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Controllability of Linear Differential-Algebraic Systems—A Survey
Pages 1-61
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Robust Stability of Differential-Algebraic Equations
Pages 63-95
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DAEs in Circuit Modelling: A Survey
Pages 97-136
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Solution Concepts for Linear DAEs: A Survey
Pages 137-172
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Port-Hamiltonian Differential-Algebraic Systems
Pages 173-226
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Table of contents (5 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Surveys in Differential-Algebraic Equations I
- Editors
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- Achim Ilchmann
- Timo Reis
- Series Title
- Differential-Algebraic Equations Forum
- Copyright
- 2013
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-34928-7
- DOI
- 10.1007/978-3-642-34928-7
- Softcover ISBN
- 978-3-642-34927-0
- Series ISSN
- 2199-7497
- Edition Number
- 1
- Number of Pages
- VII, 231
- Number of Illustrations
- 13 b/w illustrations
- Topics
