# Local stabilization of an unstable parabolic equation via saturated controls

@article{Mironchenko2019LocalSO, title={Local stabilization of an unstable parabolic equation via saturated controls}, author={A. Mironchenko and C. Prieur and F. Wirth}, journal={arXiv: Optimization and Control}, year={2019} }

We derive a saturated feedback control, which locally stabilizes a linear reaction-diffusion equation. In contrast to most other works on this topic, we do not assume Lyapunov stability of the uncontrolled system, and consider general unstable systems. Using Lyapunov methods, we provide estimates for the region of attraction for the closed-loop system, given in terms of linear and bilinear matrix inequalities. We show that our results can be used with distributed as well as scalar boundary… CONTINUE READING

2 Citations

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