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
– History of DAEs
– DAE aspects of mechanical multibody systems
– Model reduction of DAEs
– Observability for DAEs
– Numerical Analysis 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.
Table of Content
Preface.- 1 On the history of differential-algebraic equations: a retrospective with personal side trips.- 2 DAE modelling of mechanical multibody systems: a survey.- 3) Model reduction for DAEs: a survey.- 4 Observability of linear differential-algebraic systems: a survey.- 5 A survey on numerical methods for the simulation of initial value problems with DAEs.- Index.
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