Linear port-Hamiltonian systems on infinite-dimensional spaces

This book gives 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 and further progresses smoothly toadvanced topics of 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 approach leads to easily verifiable conditions for well-posedness and stability. The book is accessible to graduate engineers and mathematicians with a minimalbackground in functional analysis. Moreover, the theory is illustrated by many worked-out examples. Birgit Jacob is professor at the Faculty of Mathematics and Natural Sciences at the University of Wuppertal (Germany).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, TheNetherlands. His research interests include analysis, controller design, and approximations of infinite-dimensional systems, in particular of port-Hamiltoninan systems. INDICE: 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.- 7Homogeneous 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.

• ISBN: 978-3-0348-0398-4
• Editorial: Birkhaüser
• Encuadernacion: Cartoné
• Páginas: 230
• Fecha Publicación: 29/05/2012
• Nº Volúmenes: 1
• Idioma: Inglés