Adaptive Modified Function Projective Synchronization for Uncertain Complex Dynamic Networks With Multiple Time-Varying Delay Couplings Under Input Nonlinearity
This paper is concerned with the modified function projective synchronization of the uncertain complex dynamic networks with both input nonlinearity and multiple time-varying delay couplings. Firstly, the model of the complex dynamic networks with sector nonlinear input, multiple time-varying delay...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9137243/ |
| _version_ | 1819158769649582080 |
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| author | Jie Fang Dan-Ying Xu Jun-Wei Sun Wei Wang |
| author_facet | Jie Fang Dan-Ying Xu Jun-Wei Sun Wei Wang |
| author_sort | Jie Fang |
| collection | DOAJ |
| description | This paper is concerned with the modified function projective synchronization of the uncertain complex dynamic networks with both input nonlinearity and multiple time-varying delay couplings. Firstly, the model of the complex dynamic networks with sector nonlinear input, multiple time-varying delay couplings, model uncertainty and external disturbance is constructed. Then, the adaptive controller is formulated based on the Lyapunov stability theory and the matrix inequality theory, by which the network nodes of the driving system and the response system can realize modified function projective synchronization according to the corresponding function scaling factors. Finally, a four-dimensional hyperchaotic system is considered as the nodes of the complex dynamic networks to achieve numerical simulation. The corresponding theoretical proof and computer simulation are worked out to demonstrate the effectiveness and feasibility of the proposed scheme. |
| first_indexed | 2024-12-22T16:29:56Z |
| format | Article |
| id | doaj.art-d3bf02f205ed442b95fd2ad70e452f3b |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-22T16:29:56Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-d3bf02f205ed442b95fd2ad70e452f3b2022-12-21T18:20:05ZengIEEEIEEE Access2169-35362020-01-01812739312740310.1109/ACCESS.2020.30082969137243Adaptive Modified Function Projective Synchronization for Uncertain Complex Dynamic Networks With Multiple Time-Varying Delay Couplings Under Input NonlinearityJie Fang0https://orcid.org/0000-0002-4339-464XDan-Ying Xu1Jun-Wei Sun2https://orcid.org/0000-0002-8269-9841Wei Wang3College of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou, ChinaCollege of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou, ChinaCollege of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou, ChinaCollege of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou, ChinaThis paper is concerned with the modified function projective synchronization of the uncertain complex dynamic networks with both input nonlinearity and multiple time-varying delay couplings. Firstly, the model of the complex dynamic networks with sector nonlinear input, multiple time-varying delay couplings, model uncertainty and external disturbance is constructed. Then, the adaptive controller is formulated based on the Lyapunov stability theory and the matrix inequality theory, by which the network nodes of the driving system and the response system can realize modified function projective synchronization according to the corresponding function scaling factors. Finally, a four-dimensional hyperchaotic system is considered as the nodes of the complex dynamic networks to achieve numerical simulation. The corresponding theoretical proof and computer simulation are worked out to demonstrate the effectiveness and feasibility of the proposed scheme.https://ieeexplore.ieee.org/document/9137243/Complex dynamic networksmultiple time-varying delay couplingsinput nonlinearitymodified function projection synchronizationadaptive control |
| spellingShingle | Jie Fang Dan-Ying Xu Jun-Wei Sun Wei Wang Adaptive Modified Function Projective Synchronization for Uncertain Complex Dynamic Networks With Multiple Time-Varying Delay Couplings Under Input Nonlinearity IEEE Access Complex dynamic networks multiple time-varying delay couplings input nonlinearity modified function projection synchronization adaptive control |
| title | Adaptive Modified Function Projective Synchronization for Uncertain Complex Dynamic Networks With Multiple Time-Varying Delay Couplings Under Input Nonlinearity |
| title_full | Adaptive Modified Function Projective Synchronization for Uncertain Complex Dynamic Networks With Multiple Time-Varying Delay Couplings Under Input Nonlinearity |
| title_fullStr | Adaptive Modified Function Projective Synchronization for Uncertain Complex Dynamic Networks With Multiple Time-Varying Delay Couplings Under Input Nonlinearity |
| title_full_unstemmed | Adaptive Modified Function Projective Synchronization for Uncertain Complex Dynamic Networks With Multiple Time-Varying Delay Couplings Under Input Nonlinearity |
| title_short | Adaptive Modified Function Projective Synchronization for Uncertain Complex Dynamic Networks With Multiple Time-Varying Delay Couplings Under Input Nonlinearity |
| title_sort | adaptive modified function projective synchronization for uncertain complex dynamic networks with multiple time varying delay couplings under input nonlinearity |
| topic | Complex dynamic networks multiple time-varying delay couplings input nonlinearity modified function projection synchronization adaptive control |
| url | https://ieeexplore.ieee.org/document/9137243/ |
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