Stability Analysis for a Class of Nonlinear Neural Networks with Multiple Delays

This paper investigates the global asymptotic stability (GAS) for a class of nonlinear neural networks with multiple delays. Based on Lyapunov stability theory, homeomorphism and the linear matrix inequality (LMI) technique, a new sufficient condition is proposed for (i) existence (ii) uniqueness and (iii) global asymptotic stability of equilibrium point, of a class of nonlinear neural networks without assuming that activation functions are bounded. An example is given to illustrate the effectiveness of our new stability criteria.