Global exponential periodicity of a class of recurrent neural networks with non-monotone activation functions and time-varying delays |
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Authors: | Biwen Li |
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Institution: | 1. School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, Hubei, China
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Abstract: | The periodic oscillation and the global exponential stability of a class of recurrent neural networks with non-monotone activation
functions and time-varying delays are analyzed. For two sets of activation functions, some algebraic criteria for ascertaining
global exponential periodicity and global exponential stability of the class of recurrent neural networks are derived by using
the comparison principle and the theory of monotone operator. These conditions are easy to check in terms of system parameters.
In addition, we provide a new and efficacious method for the qualitative analysis of various neural networks. |
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