## Global exponential synchronization in delayed reaction-diffusion cellular neural networks with the Dirichlet boundary conditions.(English)Zbl 1201.93103

Summary: The global exponential synchronization for a class of delayed reaction-diffusion cellular neural networks with Dirichlet boundary conditions is discussed. Some new sufficient conditions which include the diffusion coefficients are obtained by using the Lyapunov functional method, many real parameters and inequality techniques. Particularly, different from previous works, in our results the effect of the diffusion terms on the synchronization are considered for the first time. Finally, a numerical example is given to verify our results.

### MSC:

 93D15 Stabilization of systems by feedback 37N35 Dynamical systems in control 92B20 Neural networks for/in biological studies, artificial life and related topics 93C20 Control/observation systems governed by partial differential equations
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### References:

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