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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.
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.
Birgit Jacob received the M.Sc. degree in mathematics from the University of Dortmund in 1992 and the Ph.D. degree in mathematics from the University of Bremen in 1995. She held postdoctoral and professor positions at the universities of Twente, Leeds, Paderborn, at Berlin University of Technology and at Delft University of Technology. Since 2010, she has been with the University of Wuppertal, Germany, where she is a full professor in analysis. Her current research interests include the area of infinite-dimensional systems and operator theory, particularly well-posed linear systems and port-Hamiltonian systems.
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.
Starts with elementary known results and progresses to advanced topics of current research
Introductory textbook for a course on infinite dimensional linear systems
Lecture notes include many worked-out examples and exercises
First textbook on infinite-dimensional port-Hamiltonian systems ?
Includes supplementary material: [...]
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 232 |
| Reihe: | Linear Operators and Linear Systems |
| Inhalt: |
xii
220 S. |
| ISBN-13: | 9783034808118 |
| ISBN-10: | 3034808119 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Zwart, Hans J.
Jacob, Birgit |
| Auflage: | 2012 |
| Hersteller: |
Springer Basel
Springer Basel AG Linear Operators and Linear Systems |
| Maße: | 235 x 155 x 13 mm |
| Von/Mit: | Hans J. Zwart (u. a.) |
| Erscheinungsdatum: | 17.07.2014 |
| Gewicht: | 0,359 kg |
Birgit Jacob received the M.Sc. degree in mathematics from the University of Dortmund in 1992 and the Ph.D. degree in mathematics from the University of Bremen in 1995. She held postdoctoral and professor positions at the universities of Twente, Leeds, Paderborn, at Berlin University of Technology and at Delft University of Technology. Since 2010, she has been with the University of Wuppertal, Germany, where she is a full professor in analysis. Her current research interests include the area of infinite-dimensional systems and operator theory, particularly well-posed linear systems and port-Hamiltonian systems.
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.
Starts with elementary known results and progresses to advanced topics of current research
Introductory textbook for a course on infinite dimensional linear systems
Lecture notes include many worked-out examples and exercises
First textbook on infinite-dimensional port-Hamiltonian systems ?
Includes supplementary material: [...]
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 232 |
| Reihe: | Linear Operators and Linear Systems |
| Inhalt: |
xii
220 S. |
| ISBN-13: | 9783034808118 |
| ISBN-10: | 3034808119 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Zwart, Hans J.
Jacob, Birgit |
| Auflage: | 2012 |
| Hersteller: |
Springer Basel
Springer Basel AG Linear Operators and Linear Systems |
| Maße: | 235 x 155 x 13 mm |
| Von/Mit: | Hans J. Zwart (u. a.) |
| Erscheinungsdatum: | 17.07.2014 |
| Gewicht: | 0,359 kg |
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