Description |
1 online resource (vii, 231 pages) : illustrations |
Series |
Differential-algebraic equations forum |
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Differential-algebraic equations forum.
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Contents |
Controllability of Linear Differential-Algebraic Systems--A Survey / Thomas Berger, Timo Reis -- Robust Stability of Differential-Algebraic Equations / Nguyen Huu Du, Vu Hoang Linh -- DAEs in Circuit Modelling: A Survey / Ricardo Riaza -- Solution Concepts for Linear DAEs: A Survey / Stephan Trenn -- Port-Hamiltonian Differential-Algebraic Systems / A.J. van der Schaft |
Summary |
"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, and 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."--Publisher's website |
Analysis |
Mathematics |
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Differential Equations |
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Systems theory |
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Numerical analysis |
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wiskunde |
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numerieke methoden |
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numerical methods |
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differentiaalvergelijkingen |
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regeltheorie |
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control theory |
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Mathematics (General) |
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Wiskunde (algemeen) |
Bibliography |
Includes bibliographical references and index |
Notes |
English |
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Print version record |
In |
Springer eBooks |
Subject |
Differential-algebraic equations.
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Mathematics.
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System theory.
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Mathematics
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Systems Theory
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MATHEMATICS -- Algebra -- Linear.
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Teoría de sistemas
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Matemáticas
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Differential-algebraic equations
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Form |
Electronic book
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Author |
Ilchmann, Achim, 1956-
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Reis, Timo
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LC no. |
2013935149 |
ISBN |
9783642349287 |
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3642349285 |
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3642349277 |
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9783642349270 |
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9783319110509 |
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3319110500 |
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