Global asymptotic stability for a class of complex-valued Cohen-Grossberg neural networks with time delays.

In this paper, we are concerned with the existence, uniqueness and global asymptotic stability of equilibrium point for a class of complex-valued Cohen-Grossberg neural networks with time delays. By using homeomorphism theory, new matrix inequality techniques and inequality techniques, several LMI-based sufficient conditions on the existence, uniqueness and global asymptotic stability of equilibrium point for above complex-valued Cohen-Grossberg neural networks with two classes of complex-valued activation functions, behaved functions and amplification functions are obtained. So far, only the stabilities of complex-valued recurrent neural networks, Hopfield neural networks and Cellular neural networks have been studied. Hence, it is for the first place that the stability of complex-valued Cohen-Grossberg neural networks is discussed in this paper. (C) 2015 Elsevier B.V. All rights reserved.