Research On The Almost Auto-morphic Solutions Of Two Types Of Neural Networks

In this paper,the almost automorphic solution in the sense of Stepanov for a class of fractional-order neural networks and the almost automorphic solution in the sense of Besicovitch for a class of integer-order neural networks are studied,respectively.Firstly,the existence and finite-time stability of almost automorphic solution in the sense of Stepanov for a class of fractional-order quaternion-valued neural networks(QVCNNs)with constant delays are investigated,and a numerical example is given to demonstrate the correctness of the conclusion.Secondly,the concept of almost automorphic function in the sense of Besicovitch is introduced,and the related properties are proved.As an application,we study the existence and global exponential stability of almost automorphic solution in the sense of Besicovitch for a class of integer-order quaternion-valued neural networks(QVCNNs)with constant delay.Finally,an example is given to verify the validity of the theoretical results.