Delay-independent and delay-dependent stability of a novel delayed neural networks by Lyapunov functional based approaches

This paper is devoted to stability analysis of a novel delayed neural network, whose neurons are connected with each other through both neurons' feedback connection strength matrix and direct connection strength matrix. Both delay-independent and delay-dependent stability criteria are obtained with Lyapunov-Krasovskii functional method. The criteria are in form of LMI with more slack variables, which may enlarge the range in selecting neural networks' parameters. Moreover, with these introduced slack variables, the criteria become less conservative.