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https://hdl.handle.net/2440/140591
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DC Field | Value | Language |
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dc.contributor.author | Tang, R. | - |
dc.contributor.author | Yuan, S. | - |
dc.contributor.author | Yang, X. | - |
dc.contributor.author | Shi, P. | - |
dc.contributor.author | Xiang, Z. | - |
dc.date.issued | 2023 | - |
dc.identifier.citation | Communications in Nonlinear Science and Numerical Simulation, 2023; 127:107571-1-107571-13 | - |
dc.identifier.issn | 1007-5704 | - |
dc.identifier.issn | 1878-7274 | - |
dc.identifier.uri | https://hdl.handle.net/2440/140591 | - |
dc.description | Available online 29 September 2023 | - |
dc.description.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. | - |
dc.description.statementofresponsibility | Rongqiang Tang, Shuang Yuan, Xinsong Yang, Peng Shi, Zhengrong Xiang | - |
dc.language.iso | en | - |
dc.publisher | Elsevier | - |
dc.rights | © 2023 Elsevier B.V. All rights reserved. | - |
dc.source.uri | http://dx.doi.org/10.1016/j.cnsns.2023.107571 | - |
dc.subject | Finite-time synchronization; Linear matrix inequalities; Intermittent control; Reaction–diffusion; Time delay | - |
dc.title | Finite-time synchronization of intermittently controlled reaction-diffusion systems with delays: A weighted LKF method | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1016/j.cnsns.2023.107571 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP240101140 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Shi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435] | - |
Appears in Collections: | Research Outputs |
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