Name
Title | ||
|---|---|---|
Stabilization of linear heat equation with a heat source at intermediate point by boundary control |
Abstract | ||
|---|---|---|
In this paper, the stabilization of a linear heat equation with a heat source at intermediate point is discussed applying the backstepping method. Firstly, we prove the existence of kernels in the forward and inverse transformation by some special techniques; secondly, we obtain the exponential stability with any prescribed decay rate of a closed-loop system; finally, the effectiveness of the explicit feedback stabilization controller design is illustrated with some numerical examples. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.automatica.2012.11.005 | Automatica |
Keywords | Field | DocType |
Stabilization,Boundary control,Linear heat equation,Spatial memory kernel,Backstepping | Inverse,Backstepping,Mathematical optimization,Control theory,Controller design,Heat kernel,Exponential stability,Heat equation,Mathematics | Journal |
Volume | Issue | ISSN |
49 | 2 | 0005-1098 |
Citations | PageRank | References |
2 | 0.43 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhongcheng Zhou | 1 | 11 | 3.75 |
| Chunli Guo | 2 | 26 | 3.82 |