Multistability of Recurrent Neural Networks with Time-varying Delays and the Piecewise Linear Activation Function Academic Article uri icon


  • In this brief, stability of multiple equilibria of recurrent neural networks with time-varying delays and the piecewise linear activation function is studied. A sufficient condition is obtained to ensure that n-neuron recurrent neural networks can have (4k - 1)(n) equilibrium points and (2k)(n) of them are locally exponentially stable. This condition improves and extends the existing stability results in the literature. Simulation results are also discussed in one illustrative example.

author list (cited authors)

  • Zeng, Z., Huang, T., & Zheng, W. X.

citation count

  • 154

publication date

  • August 2010