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...

Full description

Bibliographic Details
Main Authors: Jacob, Birgit, Zwart, Hans J. (Author)
Format: eBook
Published: Basel Birkhäuser 2012, 2012
Edition:1st ed. 2012
Series:Linear Operators and Linear Systems
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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.