Globally Exponential Stability and Globally Power Stability of Quaternion-Valued Neural Networks With Discrete and Distributed Delays

Globally Exponential Stability and Globally Power Stability of Quaternion-Valued Neural Networks With Discrete and Distributed Delays

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This paper investigates the stability of a class of quaternion-valued neural networks (QVNNs) with discrete and distributed delays.By decomposing the QVNN and forming an equivalent Lenses real-valued vector-matrix differential equation (RVVDE), based on the Lyapunov theory and some matrix inequalities, some sufficient conditions are derived to ensure Mountaineering - Accessoires - Gants the existence and uniqueness, the globally exponential stability and the globally power stability of the equilibrium of RVVDE.These conditions also apply to the QVNN.Two numerical examples are given to show the advantage and the effectiveness of the main results.