English

Controllability of cascade coupled systems of multi-dimensional evolution PDE's by a reduced number of controls

Optimization and Control 2011-11-08 v2 Analysis of PDEs

Abstract

We prove controllability results for abstract systems of weakly coupled NN evolution equations in cascade by a reduced number of boundary or locally distributed controls ranging from a single up to N1N-1 controls. We give applications to cascade coupled systems of NN multi-dimensional-hyperbolic, parabolic and diffusive equations.

Keywords

Cite

@article{arxiv.1109.6645,
  title  = {Controllability of cascade coupled systems of multi-dimensional evolution PDE's by a reduced number of controls},
  author = {Fatiha Alabau-Boussouira},
  journal= {arXiv preprint arXiv:1109.6645},
  year   = {2011}
}