Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control
Abstract
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.
- Publication:
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Communications in Nonlinear Science and Numerical Simulations
- Pub Date:
- December 2019
- DOI:
- 10.1016/j.cnsns.2019.104905
- Bibcode:
- 2019CNSNS..7904905X
- Keywords:
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- Impulsive control;
- Neural network;
- Pinning control;
- Reaction-diffusion