Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations

@article{Coron2004GlobalSC,
  title={Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations},
  author={J. Coron and E. Tr{\'e}lat},
  journal={SIAM J. Control. Optim.},
  year={2004},
  volume={43},
  pages={549-569}
}
We investigate the problem of exact boundary controllability of semilinear one-dimensional heat equations. We prove that it is possible to move from any steady-state to any other by means of a boundary control, provided that both are in the same connected component of the set of steady-states. The proof is based on an effective feedback stabilization procedure, which is implemented. 
Feedback stabilization along a path of steady-states for 1-D semilinear heat and wave equations
  • J. Coron, E. Trélat
  • Mathematics
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  • 2005
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