Finite-time anti-synchronization of a 6D Lorenz systems
In this article, the finite time anti-synchronization (FTAS) of master-slave 6D Lorenz systems (MS6DLSS) is discussed. Without using previous study methods, by introducing new study methods, namely by adopting the properties of quadratic inequalities of one variable and utilizing the negative defini...
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241703 |
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| author | Hu Tang Kaiyu Liu Zhengqiu Zhang |
| author_facet | Hu Tang Kaiyu Liu Zhengqiu Zhang |
| author_sort | Hu Tang |
| collection | DOAJ |
| description | In this article, the finite time anti-synchronization (FTAS) of master-slave 6D Lorenz systems (MS6DLSS) is discussed. Without using previous study methods, by introducing new study methods, namely by adopting the properties of quadratic inequalities of one variable and utilizing the negative definiteness of the quadratic form of the matrix, two criteria on the FTAS are achieved for the discussed MS6DLSS. Up to now, the existing results on FTAS of chaotic systems have been achieved often by adopting the linear matrix inequality (LMI) method and finite time stability theorems (FTST). Adopting the new study methods studies the FTAS of the MS6DLSS, and the novel results on the FTAS are gotten for the MS6DLSS, which is innovative study work. |
| format | Article |
| id | doaj-art-dc2de154dfb34419bc3703f5f6afc790 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-dc2de154dfb34419bc3703f5f6afc7902025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912359313594810.3934/math.20241703Finite-time anti-synchronization of a 6D Lorenz systemsHu Tang0Kaiyu Liu1Zhengqiu Zhang2School of General Education, Hunan University of Information Technology, Changsha 410148, Hunan, ChinaSchool of General Education, Hunan University of Information Technology, Changsha 410148, Hunan, ChinaCollege of Mathematics, Hunan University, Changsha 410082, Hunan, ChinaIn this article, the finite time anti-synchronization (FTAS) of master-slave 6D Lorenz systems (MS6DLSS) is discussed. Without using previous study methods, by introducing new study methods, namely by adopting the properties of quadratic inequalities of one variable and utilizing the negative definiteness of the quadratic form of the matrix, two criteria on the FTAS are achieved for the discussed MS6DLSS. Up to now, the existing results on FTAS of chaotic systems have been achieved often by adopting the linear matrix inequality (LMI) method and finite time stability theorems (FTST). Adopting the new study methods studies the FTAS of the MS6DLSS, and the novel results on the FTAS are gotten for the MS6DLSS, which is innovative study work.https://www.aimspress.com/article/doi/10.3934/math.20241703ftasms6dlssquadratic form of matrixproperties of quadratic inequalities of one variable |
| spellingShingle | Hu Tang Kaiyu Liu Zhengqiu Zhang Finite-time anti-synchronization of a 6D Lorenz systems AIMS Mathematics ftas ms6dlss quadratic form of matrix properties of quadratic inequalities of one variable |
| title | Finite-time anti-synchronization of a 6D Lorenz systems |
| title_full | Finite-time anti-synchronization of a 6D Lorenz systems |
| title_fullStr | Finite-time anti-synchronization of a 6D Lorenz systems |
| title_full_unstemmed | Finite-time anti-synchronization of a 6D Lorenz systems |
| title_short | Finite-time anti-synchronization of a 6D Lorenz systems |
| title_sort | finite time anti synchronization of a 6d lorenz systems |
| topic | ftas ms6dlss quadratic form of matrix properties of quadratic inequalities of one variable |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241703 |
| work_keys_str_mv | AT hutang finitetimeantisynchronizationofa6dlorenzsystems AT kaiyuliu finitetimeantisynchronizationofa6dlorenzsystems AT zhengqiuzhang finitetimeantisynchronizationofa6dlorenzsystems |