Exponential synchronization of dynamical complex networks via random impulsive scheme
This paper investigates the synchronization of a complex network based on a class of random impulsive differential equation systems. Based on the random impulsive strategy of Poisson distribution, a random impulsive dynamical network model is constructed. Using the Lyapunov principle, random proces...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2024-06-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/35728 |
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| _version_ | 1849470351239544832 |
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| author | Bowen Zhou Xiao-Bao Shu Fei Xu Fengyu Yang Ya Wang |
| author_facet | Bowen Zhou Xiao-Bao Shu Fei Xu Fengyu Yang Ya Wang |
| author_sort | Bowen Zhou |
| collection | DOAJ |
| description |
This paper investigates the synchronization of a complex network based on a class of random impulsive differential equation systems. Based on the random impulsive strategy of Poisson distribution, a random impulsive dynamical network model is constructed. Using the Lyapunov principle, random process theory, linear matrix inequality method, and some basic analysis methods, we realize the global mean-square index synchronization of the model. We then get sufficient criteria for the synchronization. By presenting a numerical example, we verified the validity of the theoretical results.
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| format | Article |
| id | doaj-art-e49c3ebb3ece43c9a5eb060d3e733244 |
| institution | Kabale University |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-e49c3ebb3ece43c9a5eb060d3e7332442025-08-20T03:25:11ZengVilnius University PressNonlinear Analysis1392-51132335-89632024-06-0129410.15388/namc.2024.29.35728Exponential synchronization of dynamical complex networks via random impulsive schemeBowen Zhou0Xiao-Bao Shu1Fei Xu2Fengyu Yang3Ya Wang4Hunan UniversityHunan UniversityWilfrid Laurier UniversityHunan UniversityHunan University This paper investigates the synchronization of a complex network based on a class of random impulsive differential equation systems. Based on the random impulsive strategy of Poisson distribution, a random impulsive dynamical network model is constructed. Using the Lyapunov principle, random process theory, linear matrix inequality method, and some basic analysis methods, we realize the global mean-square index synchronization of the model. We then get sufficient criteria for the synchronization. By presenting a numerical example, we verified the validity of the theoretical results. https://www.journals.vu.lt/nonlinear-analysis/article/view/35728random impulsesynchronization controldynamic network |
| spellingShingle | Bowen Zhou Xiao-Bao Shu Fei Xu Fengyu Yang Ya Wang Exponential synchronization of dynamical complex networks via random impulsive scheme Nonlinear Analysis random impulse synchronization control dynamic network |
| title | Exponential synchronization of dynamical complex networks via random impulsive scheme |
| title_full | Exponential synchronization of dynamical complex networks via random impulsive scheme |
| title_fullStr | Exponential synchronization of dynamical complex networks via random impulsive scheme |
| title_full_unstemmed | Exponential synchronization of dynamical complex networks via random impulsive scheme |
| title_short | Exponential synchronization of dynamical complex networks via random impulsive scheme |
| title_sort | exponential synchronization of dynamical complex networks via random impulsive scheme |
| topic | random impulse synchronization control dynamic network |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/35728 |
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