Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying Delays
The finite-time pinning synchronization control problem is studied for coupled complex networks with time-varying delays. Based on the finite-time stability theorem, a finite-time tractive synchronous controller is designed. In addition, the selection process of tractive nodes is developed to contro...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/7119370 |
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| _version_ | 1832563411350716416 |
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| author | Hebing Zhang Xiaojing Zheng Ning Li |
| author_facet | Hebing Zhang Xiaojing Zheng Ning Li |
| author_sort | Hebing Zhang |
| collection | DOAJ |
| description | The finite-time pinning synchronization control problem is studied for coupled complex networks with time-varying delays. Based on the finite-time stability theorem, a finite-time tractive synchronous controller is designed. In addition, the selection process of tractive nodes is developed to control as few nodes as possible such that all nodes are synchronized in the network in finite time. At the same time, sufficient conditions of the finite-time constraint synchronization of the drive-response network are obtained using the Lyapunov stability theory and the matrix inequality method. The effectiveness of the proposed controller is verified by numerical simulation. This approach can be applied to large-scale complex networks with time-varying delays. |
| format | Article |
| id | doaj-art-1f8b72713db94771a7dfdad2b31ee52b |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-1f8b72713db94771a7dfdad2b31ee52b2025-02-03T01:20:17ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/7119370Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying DelaysHebing Zhang0Xiaojing Zheng1Ning Li2School of Intelligent ManufactureWeifang University of Science and TechnologySchool of Intelligent ManufactureThe finite-time pinning synchronization control problem is studied for coupled complex networks with time-varying delays. Based on the finite-time stability theorem, a finite-time tractive synchronous controller is designed. In addition, the selection process of tractive nodes is developed to control as few nodes as possible such that all nodes are synchronized in the network in finite time. At the same time, sufficient conditions of the finite-time constraint synchronization of the drive-response network are obtained using the Lyapunov stability theory and the matrix inequality method. The effectiveness of the proposed controller is verified by numerical simulation. This approach can be applied to large-scale complex networks with time-varying delays.http://dx.doi.org/10.1155/2022/7119370 |
| spellingShingle | Hebing Zhang Xiaojing Zheng Ning Li Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying Delays Discrete Dynamics in Nature and Society |
| title | Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying Delays |
| title_full | Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying Delays |
| title_fullStr | Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying Delays |
| title_full_unstemmed | Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying Delays |
| title_short | Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying Delays |
| title_sort | finite time pinning synchronization control for coupled complex networks with time varying delays |
| url | http://dx.doi.org/10.1155/2022/7119370 |
| work_keys_str_mv | AT hebingzhang finitetimepinningsynchronizationcontrolforcoupledcomplexnetworkswithtimevaryingdelays AT xiaojingzheng finitetimepinningsynchronizationcontrolforcoupledcomplexnetworkswithtimevaryingdelays AT ningli finitetimepinningsynchronizationcontrolforcoupledcomplexnetworkswithtimevaryingdelays |