Stability of Quaternion-Valued Neural Networks with Mixed Delays

In this paper, we investigate the dynamic behaviors of quaternion-valued recurrent neural networks with mixed time delays. On the basis of Brouwer’s fixed point theorem, quaternion-valued variation parameter and quaternion-modulus inequality technique, some sufficient conditions are derived for assuring existence and stability of the equilibrium point of quaternion-valued recurrent neural networks with time-varying delays and distributed delays. Finally, an example is used to illustrate the effectiveness of the obtained results.