Finite-time generalized synchronization of nonidentical delayed chaotic systems
This paper deals with the finite-time generalized synchronization (GS) problem of drive-response systems. The main purpose of this paper is to design suitable controllers to force the drive-response system realize GS in a finite time. Based on the finite-time stability theory and nonlinear control t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2016-05-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13471 |
| _version_ | 1811310898262835200 |
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| author | Haibo Bao Jinde Cao |
| author_facet | Haibo Bao Jinde Cao |
| author_sort | Haibo Bao |
| collection | DOAJ |
| description | This paper deals with the finite-time generalized synchronization (GS) problem of drive-response systems. The main purpose of this paper is to design suitable controllers to force the drive-response system realize GS in a finite time. Based on the finite-time stability theory and nonlinear control theory, sufficient conditions are derived that guarantee finite-time GS. This paper extends some basic results from generalized synchronization to delayed systems. Because finite-time GS means the optimality in convergence time and has better robustness, the results in this paper are important. Numerical examples are given to show the effectiveness of the proposed control techniques. |
| first_indexed | 2024-04-13T10:08:15Z |
| format | Article |
| id | doaj.art-1ff6107592a1475d9f31bf5432de1e27 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T10:08:15Z |
| publishDate | 2016-05-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-1ff6107592a1475d9f31bf5432de1e272022-12-22T02:51:00ZengVilnius University PressNonlinear Analysis1392-51132335-89632016-05-0121310.15388/NA.2016.3.2Finite-time generalized synchronization of nonidentical delayed chaotic systemsHaibo Bao0Jinde Cao1Southwest University, ChinaSoutheast University, ChinaThis paper deals with the finite-time generalized synchronization (GS) problem of drive-response systems. The main purpose of this paper is to design suitable controllers to force the drive-response system realize GS in a finite time. Based on the finite-time stability theory and nonlinear control theory, sufficient conditions are derived that guarantee finite-time GS. This paper extends some basic results from generalized synchronization to delayed systems. Because finite-time GS means the optimality in convergence time and has better robustness, the results in this paper are important. Numerical examples are given to show the effectiveness of the proposed control techniques.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13471finite-time generalized synchronizationdrive-response systemsnonlinear control |
| spellingShingle | Haibo Bao Jinde Cao Finite-time generalized synchronization of nonidentical delayed chaotic systems Nonlinear Analysis finite-time generalized synchronization drive-response systems nonlinear control |
| title | Finite-time generalized synchronization of nonidentical delayed chaotic systems |
| title_full | Finite-time generalized synchronization of nonidentical delayed chaotic systems |
| title_fullStr | Finite-time generalized synchronization of nonidentical delayed chaotic systems |
| title_full_unstemmed | Finite-time generalized synchronization of nonidentical delayed chaotic systems |
| title_short | Finite-time generalized synchronization of nonidentical delayed chaotic systems |
| title_sort | finite time generalized synchronization of nonidentical delayed chaotic systems |
| topic | finite-time generalized synchronization drive-response systems nonlinear control |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13471 |
| work_keys_str_mv | AT haibobao finitetimegeneralizedsynchronizationofnonidenticaldelayedchaoticsystems AT jindecao finitetimegeneralizedsynchronizationofnonidenticaldelayedchaoticsystems |