Improved delay-partitioning method to stability analysis for neural networks with discrete and distributed time-varying delays

In this paper, an improved method is derived for the delay-dependent stability problem of neural networks with discrete and distributed time-varying delays. An improved Lyapunov functional is constructed by introducing the newly delay-partitioning method and considering the sufficient information of neuron activation functions. By using the relationship between each subinterval and time-varying delay sufficiently, a new delay-dependent stability criterion has been obtained to reduce the conservatism. Two numerical examples are finally given to show the merits of the derived conditions.