Multistability of Delayed Neural Networks With Discontinuous Activations
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摘要: 研究了不连续激活函数的时滞神经网络的多稳定性问题,在所研究的神经网络中,激活函数并不需要是连续的和单调的.给出了判断该神经网络多个平衡点存在及局部指数稳定的充分条件.最后,给出了两个数值仿真例子来验证本文获得结果的有效性和较小的保守性.Abstract: The problem on the multistability was investigated for delayed neural networks with discontinuous activations. For the neural networks under studied,the traditional assumptions on the continuity and the monotonicity of the activation functions were not required. Several sufficient conditions for checking the coexistence and local exponential stability of equilibria for the considered neural networks were given. Finally, two numerical examples were given to show the effectiveness and less conservatism of the proposed criteria.
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Key words:
- neural network /
- discontinuous neuron activation /
- multistability /
- exponential stability
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