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Boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and state-delay
- Source :
- Automatica, Volume 116, June 2020, 108931
- Publication Year :
- 2019
-
Abstract
- This paper discusses the boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based on a finite-dimensional truncated model obtained via a spectral decomposition. By an adequate selection of the number of modes of the original infinite-dimensional system, we show that the design performed on the finite-dimensional truncated model achieves the exponential stabilization of the original infinite-dimensional system. In the presence of distributed disturbances, we show that the closed-loop system is exponentially input-to-state stable with fading memory.<br />Comment: Published in Automatica as a brief paper
Details
- Database :
- arXiv
- Journal :
- Automatica, Volume 116, June 2020, 108931
- Publication Type :
- Report
- Accession number :
- edsarx.1911.10761
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.automatica.2020.108931