Abstract
This paper is devoted to investigation of the existence of the equilibrium point and its globally exponential stability for reaction-diffusion Cohen-Grossberg neural networks with variable coefficients and distributed delays by means of the homotopic mapping theory and Lyapunov-functional method. The sufficient conditions obtained which are easily verifiable, have a wider adaptive range. Finally, a numerical example verifies the theoretical analysis.
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Kao, Y., Bao, S. (2009). Exponential Stability of Reaction-Diffusion Cohen-Grossberg Neural Networks with S-Type Distributed Delays. In: Wang, H., Shen, Y., Huang, T., Zeng, Z. (eds) The Sixth International Symposium on Neural Networks (ISNN 2009). Advances in Intelligent and Soft Computing, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01216-7_7
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DOI: https://doi.org/10.1007/978-3-642-01216-7_7
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