Asymptotic multistability and local S-asymptotic ω-periodicity for the nonautonomous fractional-order neural networks with impulses  

作　　者：Yonggui KAO Hui LI 

机构地区：[1]Department of Mathematics,Harbin Institute of Technology at Weihai,Weihai 264209,China

出　　处：《Science China(Information Sciences)》2021年第1期171-183,共13页中国科学（信息科学）（英文版）

基　　金：National Natural Science Foundation of China(Grant No.61873071);Shandong Provincial Natural Science Foundation(Grant No.ZR2019MF006)。

摘　　要：This paper focuses on the investigation of asymptotic multistability and on local S-asymptoticω-periodicity for nonautonomous fractional-order neural networks(FONNs)with impulses.Several criteria on the existence,uniqueness,and invariant sets of nonautonomous FONNs with impulses are derived by constructing convergent sequences and comparison principles,respectively.In addition,using the Lyapunov direct method,some novel conditions of boundedness and local asymptotic stability of the FONNs discussed are obtained.Also,the sufficient conditions for local S-asymptoticω-periodicities of the system are presented.Finally,a discussion using two examples verifies the validity of our findings,which imply that global asymptotic stability is a special case of asymptotic multistability.

关 键 词：fractional-order neural networks local S-asymptoticω-periodicity asymptotic multistability impulse NONAUTONOMOUS 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]