Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/140591
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Finite-time synchronization of intermittently controlled reaction-diffusion systems with delays: A weighted LKF method |
Author: | Tang, R. Yuan, S. Yang, X. Shi, P. Xiang, Z. |
Citation: | Communications in Nonlinear Science and Numerical Simulation, 2023; 127:107571-1-107571-13 |
Publisher: | Elsevier |
Issue Date: | 2023 |
ISSN: | 1007-5704 1878-7274 |
Statement of Responsibility: | Rongqiang Tang, Shuang Yuan, Xinsong Yang, Peng Shi, Zhengrong Xiang |
Abstract: | Considering the fact that existing methodologies for finite-time control are difficult to simultaneously overcome the difficulties induced by the effects of reaction–diffusion and time delay when intermittent control is confronted, this paper explores a novel Lyapunov–Krasovskii functional (LKF) method to investigate the finite-time synchronization of delayed reaction– diffusion systems. By designing a simple intermittent control and a weighted LKF, a general finite-time stability criterion is established first. Then, sufficient conditions for the finite-time synchronization of the interested system are given, where the weight factor of the LKF has a heavy influence on the settling time. Several important corollaries are also given to specify the usefulness and generality of the weighted LKF method and the finite-time stability criterion. Finally, a numerical example is provided to verify the new findings, and an image encryption algorithm is presented to validate the useful application of theoretical results. |
Keywords: | Finite-time synchronization; Linear matrix inequalities; Intermittent control; Reaction–diffusion; Time delay |
Description: | Available online 29 September 2023 |
Rights: | © 2023 Elsevier B.V. All rights reserved. |
DOI: | 10.1016/j.cnsns.2023.107571 |
Grant ID: | http://purl.org/au-research/grants/arc/DP240101140 |
Published version: | http://dx.doi.org/10.1016/j.cnsns.2023.107571 |
Appears in Collections: | Research Outputs |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.