CHEN Xiao-feng, SONG Qian-kun. Multistability of Delayed Neural Networks With Discontinuous Activations[J]. Applied Mathematics and Mechanics, 2013, 34(4): 383-398. doi: 10.3879/j.issn.1000-0887.2013.04.007
Citation: CHEN Xiao-feng, SONG Qian-kun. Multistability of Delayed Neural Networks With Discontinuous Activations[J]. Applied Mathematics and Mechanics, 2013, 34(4): 383-398. doi: 10.3879/j.issn.1000-0887.2013.04.007

Multistability of Delayed Neural Networks With Discontinuous Activations

doi: 10.3879/j.issn.1000-0887.2013.04.007
  • Received Date: 2013-03-18
  • Rev Recd Date: 2013-04-03
  • Publish Date: 2013-04-15
  • 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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