Uniform controllability of semidiscrete approximations of parabolic control systems

@article{Labb2006UniformCO,
  title={Uniform controllability of semidiscrete approximations of parabolic control systems},
  author={S. Labb{\'e} and E. Tr{\'e}lat},
  journal={Syst. Control. Lett.},
  year={2006},
  volume={55},
  pages={597-609}
}
Controlling an approximation model of a controllable infinite dimensional linear control system does not necessarily yield a good approximation of the control needed for the continuous model. In the present paper, under the main assumptions that the discretized semigroup is uniformly analytic, and that the control operator is mildly unbounded, we prove that the semidiscrete approximation models are uniformly controllable. Moreover, we provide a computationally efficient way to compute the… Expand
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