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.
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