Single controller for stability of delayed neural networks with mixed coupling and L2-gain condition

By employing Lyapunov functional method and linear matrix inequalities (LMIs), the asymptotical stability is studied for the coupled delayed neural networks. Furthermore, we presented a new neural network model including both intrinsic disturbance of single node and communication noise over the network connections. Only one controller is used for the stabilization of the neural networks in terms of LMIs, and the prescribed L2-gain condition is satisfied. The proposed linear matrix inequality results are easy to be solved by standard commercial software. An illustrative example is given to show the effectiveness of the result.