Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay Couplings
This paper deals with the function projective synchronization of two complex dynamic networks with unknown sector nonlinear input, multiple time-varying delay couplings, model uncertainty, and external interferences. Based on Lyapunov stability theory and inequality transformation method, the robust...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/2656836 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561860814045184 |
|---|---|
| author | Na Fang Da Wei Nan-nan Yin Dan-ying Xu Hua Liu Jie Fang |
| author_facet | Na Fang Da Wei Nan-nan Yin Dan-ying Xu Hua Liu Jie Fang |
| author_sort | Na Fang |
| collection | DOAJ |
| description | This paper deals with the function projective synchronization of two complex dynamic networks with unknown sector nonlinear input, multiple time-varying delay couplings, model uncertainty, and external interferences. Based on Lyapunov stability theory and inequality transformation method, the robust adaptive synchronization controller is designed, by which the drive and response systems can achieve synchronization according to the function scaling factor. Different from some existing studies on nonlinear system with sector nonlinear input, this paper studies the synchronization of two complex dynamic networks when the boundary of sector nonlinear input is unknown. The controller does not include the boundary value of the sector nonlinear input and the time delay term, so it is more practical and relatively easy to implement. The corresponding simulation examples demonstrate the effectiveness of the proposed scheme. |
| format | Article |
| id | doaj-art-9d208895626d4c20b112f0840e5431c6 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9d208895626d4c20b112f0840e5431c62025-02-03T01:24:09ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/2656836Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay CouplingsNa Fang0Da Wei1Nan-nan Yin2Dan-ying Xu3Hua Liu4Jie Fang5College of Software EngineeringCollege of Electrical and Information EngineeringCollege of Electrical and Information EngineeringState Grid Henan Electric Power CompanyState Grid Henan Electric Power CompanyCollege of Electrical and Information EngineeringThis paper deals with the function projective synchronization of two complex dynamic networks with unknown sector nonlinear input, multiple time-varying delay couplings, model uncertainty, and external interferences. Based on Lyapunov stability theory and inequality transformation method, the robust adaptive synchronization controller is designed, by which the drive and response systems can achieve synchronization according to the function scaling factor. Different from some existing studies on nonlinear system with sector nonlinear input, this paper studies the synchronization of two complex dynamic networks when the boundary of sector nonlinear input is unknown. The controller does not include the boundary value of the sector nonlinear input and the time delay term, so it is more practical and relatively easy to implement. The corresponding simulation examples demonstrate the effectiveness of the proposed scheme.http://dx.doi.org/10.1155/2022/2656836 |
| spellingShingle | Na Fang Da Wei Nan-nan Yin Dan-ying Xu Hua Liu Jie Fang Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay Couplings Advances in Mathematical Physics |
| title | Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay Couplings |
| title_full | Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay Couplings |
| title_fullStr | Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay Couplings |
| title_full_unstemmed | Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay Couplings |
| title_short | Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay Couplings |
| title_sort | function projective synchronization of two complex networks with unknown sector nonlinear input and multiple time varying delay couplings |
| url | http://dx.doi.org/10.1155/2022/2656836 |
| work_keys_str_mv | AT nafang functionprojectivesynchronizationoftwocomplexnetworkswithunknownsectornonlinearinputandmultipletimevaryingdelaycouplings AT dawei functionprojectivesynchronizationoftwocomplexnetworkswithunknownsectornonlinearinputandmultipletimevaryingdelaycouplings AT nannanyin functionprojectivesynchronizationoftwocomplexnetworkswithunknownsectornonlinearinputandmultipletimevaryingdelaycouplings AT danyingxu functionprojectivesynchronizationoftwocomplexnetworkswithunknownsectornonlinearinputandmultipletimevaryingdelaycouplings AT hualiu functionprojectivesynchronizationoftwocomplexnetworkswithunknownsectornonlinearinputandmultipletimevaryingdelaycouplings AT jiefang functionprojectivesynchronizationoftwocomplexnetworkswithunknownsectornonlinearinputandmultipletimevaryingdelaycouplings |