English

On exact controllability of infinite-dimensional linear port-Hamiltonian systems

Optimization and Control 2019-05-17 v2 Functional Analysis

Abstract

Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain with full boundary control and without internal damping are studied. This class of systems includes models of beams and waves as well as the transport equation and networks of nonhomogeneous transmission lines. The main result shows that well-posed port-Hamiltonian systems, with state space L2((0,1);Cn)L^2((0,1);\mathbb C^n) and input space Cn\mathbb C^n, are exactly controllable.

Keywords

Cite

@article{arxiv.1903.03819,
  title  = {On exact controllability of infinite-dimensional linear port-Hamiltonian systems},
  author = {Birgit Jacob and Julia T. Kaiser},
  journal= {arXiv preprint arXiv:1903.03819},
  year   = {2019}
}