Attractivity Analysis for Recurrent Neural Networks with State-dependent External Input

This paper introduces a novel kind of discontinu-ous neural networks which are with state-dependent switching external input. The switched external input is defined as a step function with respect to state value. Firstly, we derive a sufficient condition for network state attractivity by dividing the state space according to the swithed external input function and the activation function. At last, one numerical example verifies our results.