Homogeneous Port-Hamiltonian Systems
Authors
Abstract
In the previous two chapters we have formulated partial differential equations as first order differential equations. Furthermore, we described the solutions of these differential equations via a strongly continuous semigroup. These differential equations were only weakly connected to the norm of the underlying state space. However, in this chapter we consider a class of differential equations for which there is a very natural state space norm. This natural choice enables us to show that the corresponding semigroup is a contraction semigroup.
Citation
- ISBN: 9783034803984
- Publisher: Springer Basel
- DOI: 10.1007/978-3-0348-0399-1_7
BibTeX
@inbook{Jacob_2012,
title={{Homogeneous Port-Hamiltonian Systems}},
ISBN={9783034803991},
DOI={10.1007/978-3-0348-0399-1_7},
booktitle={{Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces}},
publisher={Springer Basel},
author={Jacob, Birgit and Zwart, Hans J.},
year={2012},
pages={79--96}
}