Abstract
In this paper, we study delayed reaction-diffusion Cohen-Grossberg neural networks with Dirichlet boundary conditions. By using topology degree theory and constructing suitable Lyapunov functional, some sufficient conditions are given to ensure the existence, uniqueness and globally exponential stability of the equilibrium point. At the same time, another sufficient conditions are also given to ensure the existence and exponential convergence of the periodical solution.
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Lei, J., Yan, P., Lv, T. (2010). Stability of Equilibrium Solution and Periodical Solution to Cohen-Grossberg Neural Networks. In: Wang, F.L., Deng, H., Gao, Y., Lei, J. (eds) Artificial Intelligence and Computational Intelligence. AICI 2010. Lecture Notes in Computer Science(), vol 6319. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16530-6_7
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DOI: https://doi.org/10.1007/978-3-642-16530-6_7
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