Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces / Operator Theory: Advances and Applications Bd.223 (PDF)
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This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems. The textbook starts with elementary known results, then progresses smoothly to advanced topics in current research.
Many physical systems can be formulated using a Hamiltonian framework, leading to models described by ordinary or partial differential equations. For the purpose of control and for the interconnection of two or more Hamiltonian systems it is essential to take into account this interaction with the environment. This book is the first textbook on infinite-dimensional port-Hamiltonian systems. An abstract functional analytical approach is combined with the physical approach to Hamiltonian systems. This combined approach leads to easily verifiable conditions for well-posedness and stability.
The book is accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Moreover, the theory is illustrated by many worked-out examples.
Hans Zwart received his Master degree in 1984 and his Ph.D. degree in 1988, both in mathematics at the University of Groningen. Since 1988 he has been working at the Applied Mathematics Department, University of Twente, Enschede, The Netherlands. His research interests include analysis, controller design, and approximations of infinite-dimensional systems, in particular of port-Hamiltoninan systems.
- Autoren: Birgit Jacob , Hans J. Zwart
- 2012, 1st ed. 2012, 220 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3034803990
- ISBN-13: 9783034803991
- Erscheinungsdatum: 13.06.2012
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- Größe: 2.38 MB
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