On conditions that prevent steady-state controllability of certain linear partial differential equations

@article{Chitour2005OnCT,
  title={On conditions that prevent steady-state controllability of certain linear partial differential equations},
  author={Yacine Chitour and J.-M. Coron and Mauro Garavello},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
  year={2005},
  pages={1068-1073}
}
In this paper, we investigate the connections between controllability properties of distributed systems and existence of non zero entire functions subject to restrictions on their growth and on their sets oof zeros. Exploiting these connectioons, we first show that, for generic bounded open domains in dimension n ≥ 2, the steady-state controllability for the heat equation with boundary controls dependent only on time, does not hold. In a second step, we study a model of water tank whose… CONTINUE READING

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