Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control
This paper studies the synchronization problem of coupled reaction-diffusion neural networks with time-varying delays. A novel pinning impulsive controller is proposed, where distributed delays and discrete delays are taken into account, respectively. By using the Lyapunov–Krasovskii method, the rel...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
ELSEVIER
2019
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| Subjects: | |
| Online Access: | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/90972 |
| _version_ | 1848765476008624128 |
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| author | Xie, X. Liu, X. Xu, Honglei Luo, X. Liu, G. |
| author_facet | Xie, X. Liu, X. Xu, Honglei Luo, X. Liu, G. |
| author_sort | Xie, X. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper studies the synchronization problem of coupled reaction-diffusion neural networks with time-varying delays. A novel pinning impulsive controller is proposed, where distributed delays and discrete delays are taken into account, respectively. By using the Lyapunov–Krasovskii method, the relations among impulsive gains, pinned node numbers, impulsive intervals, impulsive instants and time delays are derived. Exponential synchronization criteria are established for the delayed coupled reaction-diffusion neural networks. Our results show that synchronization of the neural networks can be achieved by controlling a small portion of nodes in the networks via delayed impulses. Numerical examples are provided to demonstrate the effectiveness of the theoretical results. |
| first_indexed | 2025-11-14T11:35:51Z |
| format | Journal Article |
| id | curtin-20.500.11937-90972 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:35:51Z |
| publishDate | 2019 |
| publisher | ELSEVIER |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-909722023-06-13T09:14:00Z Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control Xie, X. Liu, X. Xu, Honglei Luo, X. Liu, G. Science & Technology Physical Sciences Technology Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physics, Fluids & Plasmas Physics, Mathematical Mathematics Physics Impulsive control Neural network Pinning control Reaction-diffusion TIME-VARYING DELAY SAMPLED-DATA SYNCHRONIZATION EXPONENTIAL STABILITY DYNAMICAL NETWORKS SYSTEMS STABILIZATION This paper studies the synchronization problem of coupled reaction-diffusion neural networks with time-varying delays. A novel pinning impulsive controller is proposed, where distributed delays and discrete delays are taken into account, respectively. By using the Lyapunov–Krasovskii method, the relations among impulsive gains, pinned node numbers, impulsive intervals, impulsive instants and time delays are derived. Exponential synchronization criteria are established for the delayed coupled reaction-diffusion neural networks. Our results show that synchronization of the neural networks can be achieved by controlling a small portion of nodes in the networks via delayed impulses. Numerical examples are provided to demonstrate the effectiveness of the theoretical results. 2019 Journal Article http://hdl.handle.net/20.500.11937/90972 10.1016/j.cnsns.2019.104905 English http://purl.org/au-research/grants/arc/DP160102819 ELSEVIER restricted |
| spellingShingle | Science & Technology Physical Sciences Technology Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physics, Fluids & Plasmas Physics, Mathematical Mathematics Physics Impulsive control Neural network Pinning control Reaction-diffusion TIME-VARYING DELAY SAMPLED-DATA SYNCHRONIZATION EXPONENTIAL STABILITY DYNAMICAL NETWORKS SYSTEMS STABILIZATION Xie, X. Liu, X. Xu, Honglei Luo, X. Liu, G. Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control |
| title | Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control |
| title_full | Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control |
| title_fullStr | Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control |
| title_full_unstemmed | Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control |
| title_short | Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control |
| title_sort | synchronization of coupled reaction-diffusion neural networks: delay-dependent pinning impulsive control |
| topic | Science & Technology Physical Sciences Technology Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physics, Fluids & Plasmas Physics, Mathematical Mathematics Physics Impulsive control Neural network Pinning control Reaction-diffusion TIME-VARYING DELAY SAMPLED-DATA SYNCHRONIZATION EXPONENTIAL STABILITY DYNAMICAL NETWORKS SYSTEMS STABILIZATION |
| url | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/90972 |