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Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces
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 for...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2012.
|
| Edición: | 1st ed. 2012. |
| Colección: | Linear Operators and Linear Systems,
223 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
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| 001 | 978-3-0348-0399-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220112233007.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120612s2012 sz | s |||| 0|eng d | ||
| 020 | |a 9783034803991 |9 978-3-0348-0399-1 | ||
| 024 | 7 | |a 10.1007/978-3-0348-0399-1 |2 doi | |
| 050 | 4 | |a Q295 | |
| 050 | 4 | |a QA402.3-402.37 | |
| 072 | 7 | |a GPFC |2 bicssc | |
| 072 | 7 | |a SCI064000 |2 bisacsh | |
| 072 | 7 | |a GPFC |2 thema | |
| 082 | 0 | 4 | |a 003 |2 23 |
| 100 | 1 | |a Jacob, Birgit. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces |h [electronic resource] / |c by Birgit Jacob, Hans J. Zwart. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a Basel : |b Springer Basel : |b Imprint: Birkhäuser, |c 2012. | |
| 300 | |a XII, 220 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Linear Operators and Linear Systems, |x 2504-3617 ; |v 223 | |
| 505 | 0 | |a 1 Introduction -- 2 State Space Representation.-3 Controllability of Finite-Dimensional Systems -- 4 Stabilizability of Finite-Dimensional Systems -- 5 Strongly Continuous Semigroups -- 6 Contraction and Unitary Semigroups -- 7 Homogeneous Port-Hamiltonian Systems -- 8 Stability -- 9 Stability of Port-Hamiltonian Systems -- 10 Inhomogeneous Abstract Differential Equations and Stabilization -- 11 Boundary Control Systems -- 12 Transfer Functions -- 13 Well-posedness -- A Integration and Hardy spaces -- Bibliography -- Index. . | |
| 520 | |a 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. | ||
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Control theory. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 1 | 4 | |a Systems Theory, Control . |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Differential Equations. |
| 700 | 1 | |a Zwart, Hans J. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783034804004 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034808118 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034803984 |
| 830 | 0 | |a Linear Operators and Linear Systems, |x 2504-3617 ; |v 223 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-0348-0399-1 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||