Aperiodically semi-intermittent-based fixed-time stabilization and synchronization of delayed discontinuous inertial neural networks  

作　　者：Guodong ZHANG Jinde CAO 

机构地区：[1]School of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China [2]School of Mathematics,Southeast University,Nanjing 210096,China

出　　处：《Science China(Information Sciences)》2025年第1期235-251,共17页中国科学(信息科学)(英文版)

基　　金：supported by National Natural Science Foundation of China(Grant No.61976228);National Key Research and Development Project of China(Grant No.2020YFA0714301);Fundamental Research Funds of the Central Universities of South-Central Minzu University(Grant No.CZQ24020).

摘　　要：This article concentrates on the fixed-time stabilization(FS)and fixed-time synchronization(FTS)of discontinuous inertial neural networks(DINNs)with distributed delays.Using mathematical induction to a new differential equality,a novel fixed-time stability lemma is constructed.Then,by designing an aperiodically semi-intermittent switching control and combining it with the theory of nonsmooth analysis,some novel criteria on the FS and FTS of DINNs are obtained.Unlike the methods used in most existing studies,the FS and FTS results are structured using the newly proposed fixed-time stability lemma and the nonreduced-order approach,resulting in broader practical applications and strengthening the scientific quality of the derived results.Lastly,numerical simulations and applications proffer the effectiveness of the established FS and FTS criteria.

关 键 词：inertial neural networks fixed-time synchronization semi-intermittent switching control nonreduced-order approach fixed-time stabilization 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]