Impulsive disturbance on stability analysis of delayed quaternion-valued neural networks
作者：
Highlights：
• A general impulsive disturbed quaternion-valued delayed neural network model is constructed by the impulsive differential system and quaternion-valued delayed neural networks. A novel stability definition is introduced to investigate the stability criteria of impulsive quaternion-valued delayed neural networks.
• Generalized ∞-norm ({ξ, ∞}-norm) and generalized 1-norm ({ξ, 1}-norm) are successively utilized to obtain stability problems of impulsive quaternion-valued delayed neural networks.
• According to ξ-norm and quaternion-valued delayed neural networks, special Lyapunov-type functions are constructed to prove the stability criteria of impulsive quaternion-valued delayed neural networks.
摘要
•A general impulsive disturbed quaternion-valued delayed neural network model is constructed by the impulsive differential system and quaternion-valued delayed neural networks. A novel stability definition is introduced to investigate the stability criteria of impulsive quaternion-valued delayed neural networks.•Generalized ∞-norm ({ξ, ∞}-norm) and generalized 1-norm ({ξ, 1}-norm) are successively utilized to obtain stability problems of impulsive quaternion-valued delayed neural networks.•According to ξ-norm and quaternion-valued delayed neural networks, special Lyapunov-type functions are constructed to prove the stability criteria of impulsive quaternion-valued delayed neural networks.
论文关键词：Quaternion-valued neural networks,Impulsive disturbance,Exponential stability,Generalized norm
论文评审过程：Received 11 May 2020, Revised 24 August 2020, Accepted 13 September 2020, Available online 1 October 2020, Version of Record 1 October 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125680
