Robustness Analysis of Exponential Synchronization in Complex Dynamic Networks with Deviating Argumentsand Parameter Uncertainties
In the paper, we study the robust synchronization of complex dynamic networks (CDNs) with deviating arguments and parameter uncertainties via self-feedback control, the model involves both advanced and delayed arguments. In addition, based on the Gronwall inequality and inequality techniques, we der...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/16/2/158 |
| _version_ | 1797296930259206144 |
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| author | Tao Xie Xing Xiong |
| author_facet | Tao Xie Xing Xiong |
| author_sort | Tao Xie |
| collection | DOAJ |
| description | In the paper, we study the robust synchronization of complex dynamic networks (CDNs) with deviating arguments and parameter uncertainties via self-feedback control, the model involves both advanced and delayed arguments. In addition, based on the Gronwall inequality and inequality techniques, we derive upper bounds on the length of the arguments and the magnitude of the parameters, when the parameters and arguments of CDNs are below the upper bounds, the CDNs continue to exhibit exponential synchronization. In comparison to linear matrix inequalities and Lyapunov’s method in the existing literature, we obtain elaborate bounds. Finally, Several simple examples can demonstrate the effectiveness of the results. |
| first_indexed | 2024-03-07T22:11:58Z |
| format | Article |
| id | doaj.art-4f85277e49cc4a369a2e44b0a0594999 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-07T22:11:58Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-4f85277e49cc4a369a2e44b0a05949992024-02-23T15:35:53ZengMDPI AGSymmetry2073-89942024-01-0116215810.3390/sym16020158Robustness Analysis of Exponential Synchronization in Complex Dynamic Networks with Deviating Argumentsand Parameter UncertaintiesTao Xie0Xing Xiong1School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaSchool of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaIn the paper, we study the robust synchronization of complex dynamic networks (CDNs) with deviating arguments and parameter uncertainties via self-feedback control, the model involves both advanced and delayed arguments. In addition, based on the Gronwall inequality and inequality techniques, we derive upper bounds on the length of the arguments and the magnitude of the parameters, when the parameters and arguments of CDNs are below the upper bounds, the CDNs continue to exhibit exponential synchronization. In comparison to linear matrix inequalities and Lyapunov’s method in the existing literature, we obtain elaborate bounds. Finally, Several simple examples can demonstrate the effectiveness of the results.https://www.mdpi.com/2073-8994/16/2/158complex dynamic networkdeviating argumentsparameter uncertaintiesexponential synchronization |
| spellingShingle | Tao Xie Xing Xiong Robustness Analysis of Exponential Synchronization in Complex Dynamic Networks with Deviating Argumentsand Parameter Uncertainties Symmetry complex dynamic network deviating arguments parameter uncertainties exponential synchronization |
| title | Robustness Analysis of Exponential Synchronization in Complex Dynamic Networks with Deviating Argumentsand Parameter Uncertainties |
| title_full | Robustness Analysis of Exponential Synchronization in Complex Dynamic Networks with Deviating Argumentsand Parameter Uncertainties |
| title_fullStr | Robustness Analysis of Exponential Synchronization in Complex Dynamic Networks with Deviating Argumentsand Parameter Uncertainties |
| title_full_unstemmed | Robustness Analysis of Exponential Synchronization in Complex Dynamic Networks with Deviating Argumentsand Parameter Uncertainties |
| title_short | Robustness Analysis of Exponential Synchronization in Complex Dynamic Networks with Deviating Argumentsand Parameter Uncertainties |
| title_sort | robustness analysis of exponential synchronization in complex dynamic networks with deviating argumentsand parameter uncertainties |
| topic | complex dynamic network deviating arguments parameter uncertainties exponential synchronization |
| url | https://www.mdpi.com/2073-8994/16/2/158 |
| work_keys_str_mv | AT taoxie robustnessanalysisofexponentialsynchronizationincomplexdynamicnetworkswithdeviatingargumentsandparameteruncertainties AT xingxiong robustnessanalysisofexponentialsynchronizationincomplexdynamicnetworkswithdeviatingargumentsandparameteruncertainties |