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

作     者：Yonggui KAO Hui LI Yonggui KAO;Hui LI

作者机构：Department of MathematicsHarbin Institute of Technology at Weihai 

出 版 物：《Science China(Information Sciences)》 (中国科学:信息科学(英文版))

年 卷 期：2021年第64卷第1期

页      面：175-187页

核心收录：

学科分类：0810[工学-信息与通信工程] 12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 0808[工学-电气工程] 081104[工学-模式识别与智能系统] 08[工学] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

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

主　　题：fractional-order neural networks local S-asymptotic $\omega$-periodicity asymptotic multistability impulse nonautonomous 

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-asymptotic ω-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.