Name
Title | ||
|---|---|---|
Stabilization And Stability Robustness Of Coupled Non-Constant Parameter Time Fractional Pdes |
Abstract | ||
|---|---|---|
This paper considers observer-based output feedback stabilization and stability robustness against small diffusivity perturbations of coupled time fractional partial differential equations (PDEs) with space-dependent (non-constant) parameters. Herein, the plant is equipped with the only available measurement at x D 0 and actuation at x D 1. By backstepping transformation, the well-posedness of the kernel matrix PDE and the observer gains are obtained. Then an output feedback controller is introduced and the Mittag-Leffier stability of the closed-loop system is proved by the fractional Lyapunov method. Robustness analysis of diffusion coefficients uncertainty (with a small perturbation in the diffusion coefficient) is also provided. The output feedback stabilization of the closed-loop system is tested by a numerical example. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/ACCESS.2019.2951058 | IEEE ACCESS |
Keywords | DocType | Volume |
Coupled time fractional PDEs, output feedback boundary stabilization, uncertainty analysis, space-dependent coefficients. | Journal | 7 |
ISSN | Citations | PageRank |
2169-3536 | 0 | 0.34 |
References | Authors | |
0 | 5 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Juan Chen | 1 | 109 | 30.89 |
| Aleksei Tepljakov | 2 | 14 | 14.12 |
| Eduard Petlenkov | 3 | 42 | 20.71 |
| Yangquan Chen | 4 | 2257 | 242.16 |
| Bo Zhuang | 5 | 0 | 0.34 |