Abstract
Without assuming the boundedness and differentiability of the nonlinear activation functions, the new sufficient conditions of the existence and the global exponential stability of periodic solutions for Hopfield neural network with periodic inputs are given by using Mawhin's coincidence degree theory and Liapunov's function method.
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Contributed by Liu Zeng-rong
Biography: Xiang Lan (1964-)
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Lan, X., Jin, Z., Zeng-rong, L. et al. On the asymptotic behavior of hopfield neural network with periodic inputs. Appl Math Mech 23, 1367–1373 (2002). https://doi.org/10.1007/BF02438376
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DOI: https://doi.org/10.1007/BF02438376
Key words
- Hopfield neural network
- periodic solution
- global exponential stability
- concidence degree
- Liapunov's function