Abstract
The Fitzhugh-Nagumo model (FN model), which is successfully employed in modeling the function of the so-called membrane potential, exhibits various formations in neuronal networks and rich complex dynamics. This work deals with the problem of control and synchronization of the FN reaction-diffusion model. The proposed control law in this study is designed to be uni-dimensional and linear law for the purpose of reducing the cost of implementation. In order to analytically prove this assertion, Lyapunov’s second method is utilized and illustrated numerically in one- and/or two-spatial dimensions.
| Original language | English |
|---|---|
| Pages (from-to) | 333 |
| Number of pages | 1 |
| Journal | Archives of Control Sciences |
| Volume | 31 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2021 |
Keywords
- FitzHugh-Nagumo
- Linear control
- Lyapunov’s second method
- Neuronal networks
- Reaction-diffusion system
- Synchronization
- Uni-dimensional control
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