Global exponential stability for quaternion-valued neural networks with time-varying delays by matrix measure method

In this paper, the global exponential stability of quaternion-valued neural networks with time-varying delays is discussed. On the basis of the matrix measure method and Halanay inequality, some sufficient criteria of exponential stability for quaternion-valued neural with delays are given. Different from the existing methods, the criteria of global exponential stability are obtained without constructing Lyapunov function. Moreover, the activation function is no longer assumed to be differentiable, which makes the analysis much easier. Finally, the numerical simulations are used to prove the validity of the main results.