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 - Observers for DAEs - DAEs in chemical processes - Optimal control of DAEs - DAEs from a functional-analytic viewpoint - Algebraic methods 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.

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Inhalt
Linear Differential Algebraic Equations and Observers.- DAEs in Model Reduction of Chemical Processes.- A Survey on Optimal Control Problems with Differential-Algebraic Equations.- Differential-Algebraic Equations from a Functional-Analytic Viewpoint.- Algebraic Theory of Linear Systems.