Exponential stabilization of the semilinear heat equation with nonlocal boundary conditions
Abstract
The present work is devoted to the problem of boundary stabilization of the semilinear 1-D heat equation with nonlocal boundary conditions. The stabilizing controller is finite-dimensional, linear, given in an explicit form, involving only the eigenfunctions of the Laplace operator with nonlocal boundary conditions.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2020
- DOI:
- 10.48550/arXiv.2004.09100
- arXiv:
- arXiv:2004.09100
- Bibcode:
- 2020arXiv200409100M
- Keywords:
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- Mathematics - Optimization and Control