Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling
The finite-time synchronization control is studied in this paper for a class of nonlinear uncertain complex dynamic networks. The uncertainties in the network are unknown but bounded and satisfy some matching conditions. The coupling relationship between network nodes is described by a nonlinear fun...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/9821063 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548329066594304 |
|---|---|
| author | Yiping Luo Yuejie Yao |
| author_facet | Yiping Luo Yuejie Yao |
| author_sort | Yiping Luo |
| collection | DOAJ |
| description | The finite-time synchronization control is studied in this paper for a class of nonlinear uncertain complex dynamic networks. The uncertainties in the network are unknown but bounded and satisfy some matching conditions. The coupling relationship between network nodes is described by a nonlinear function satisfying the Lipchitz condition. By introducing a simple Lyapunov function, two main results regarding finite-time synchronization of a class of complex dynamic networks with parameter uncertainties are derived. By employing some analysis techniques like matrix inequalities, suitable controllers can be designed based on the obtained synchronization criteria. Moreover, with the obtained control input, the time instant required for the system to achieve finite-time synchronization can be estimated if a set of LMIs are feasible or an assumption on the eigenvalues of some matrices can be satisfied. Finally, the effectiveness of the proposed results is verified by numerical simulation. |
| format | Article |
| id | doaj-art-5f21ab180af44356a7034dd4d5cdf4bd |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5f21ab180af44356a7034dd4d5cdf4bd2025-02-03T06:14:15ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/98210639821063Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear CouplingYiping Luo0Yuejie Yao1Hunan Institute of Engineering, Xiangtan, Hunan 411101, ChinaHunan Institute of Engineering, Xiangtan, Hunan 411101, ChinaThe finite-time synchronization control is studied in this paper for a class of nonlinear uncertain complex dynamic networks. The uncertainties in the network are unknown but bounded and satisfy some matching conditions. The coupling relationship between network nodes is described by a nonlinear function satisfying the Lipchitz condition. By introducing a simple Lyapunov function, two main results regarding finite-time synchronization of a class of complex dynamic networks with parameter uncertainties are derived. By employing some analysis techniques like matrix inequalities, suitable controllers can be designed based on the obtained synchronization criteria. Moreover, with the obtained control input, the time instant required for the system to achieve finite-time synchronization can be estimated if a set of LMIs are feasible or an assumption on the eigenvalues of some matrices can be satisfied. Finally, the effectiveness of the proposed results is verified by numerical simulation.http://dx.doi.org/10.1155/2019/9821063 |
| spellingShingle | Yiping Luo Yuejie Yao Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling Complexity |
| title | Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling |
| title_full | Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling |
| title_fullStr | Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling |
| title_full_unstemmed | Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling |
| title_short | Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling |
| title_sort | finite time synchronization of uncertain complex dynamic networks with nonlinear coupling |
| url | http://dx.doi.org/10.1155/2019/9821063 |
| work_keys_str_mv | AT yipingluo finitetimesynchronizationofuncertaincomplexdynamicnetworkswithnonlinearcoupling AT yuejieyao finitetimesynchronizationofuncertaincomplexdynamicnetworkswithnonlinearcoupling |