Intermittent boundary control for fixed-time stability of reaction–diffusion systems
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Article number | 114704 |
| Number of pages | 8 |
| Journal / Publication | Chaos, Solitons and Fractals |
| Volume | 181 |
| Online published | 8 Mar 2024 |
| Publication status | Published - Apr 2024 |
Link(s)
Abstract
This work is a pilot effort to investigate the fixed-time stability (FxTS) of reaction–diffusion systems under aperiodically intermittent boundary control (AIBC). The average control rate and a new Lyapunov function are proposed to overcome the challenges of handling the FxTS of reaction–diffusion systems with AIBC. Moreover, the proposed method is applicable to the study of finite-time stability and exponential stability of reaction–diffusion systems under AIBC. Based on the Wirtinger's inequality and the Lyapunov method, a FxTS criterion for a reaction–diffusion system with AIBC is given. Finally, two examples are discussed along with the simulated results to verify the effectiveness of the proposed method. © 2024 Elsevier Ltd
Research Area(s)
- Aperiodically intermittent boundary control, Average control rate, Fixed-time stability, Reaction–diffusion system
Citation Format(s)
Intermittent boundary control for fixed-time stability of reaction–diffusion systems. / Jia, Wenwen; Xie, Jingu; Guo, Haihua et al.
In: Chaos, Solitons and Fractals, Vol. 181, 114704, 04.2024.
In: Chaos, Solitons and Fractals, Vol. 181, 114704, 04.2024.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
