Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces

• Main Authors: Jacob, Birgit (Author), Zwart, Hans J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
• Series: Operator Theory: Advances and Applications ; 223
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Operator theory.; Partial differential equations.; System theory.; Systems Theory, Control.; Dynamical Systems and Ergodic Theory.; Operator Theory.; Partial Differential Equations.

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...

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.  .