Name
Title | ||
|---|---|---|
Boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and state-delay |
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. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.automatica.2020.108931 | Automatica |
Keywords | DocType | Volume |
Distributed parameter systems,Boundary control,State-delay,Reaction–diffusion equation,Input-to-state stability | Journal | 116 |
Issue | ISSN | Citations |
116 | 0005-1098 | 2 |
PageRank | References | Authors |
0.38 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lhachemi, H. | 1 | 22 | 8.90 |
| Robert Shorten | 2 | 293 | 60.79 |