Synchronization of Fuzzy Inertial Neural Networks with Time-Varying Delays via Fixed-Time and Preassigned-Time Control

被引：2
作者：
Li, Songjie [2 ]
Li, Haoyu [2 ]
Wang, Xinmei [2 ]
Wang, Leimin [1 ,2 ]
Hu, Junhao [3 ]
机构：
[1] Wuhan Univ Sci & Technol, Hubei Prov Key Lab Syst Sci Met Proc, Wuhan 430081, Peoples R China
[2] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China
[3] South Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R China
来源：
NEURAL PROCESSING LETTERS | 2023年 / 55卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Fuzzy inertial neural networks; Time-varying delay; Fixed-time synchronization; Preassigned-time synchronization; FINITE-TIME; STABILIZATION; STABILITY; SYSTEMS; DESIGN;
D O I：
10.1007/s11063-023-11211-6
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper designs a unified control framework to achieve the fixed-time and preassigned-time synchronization of fuzzy inertial neural networks (FINNs) with time-varying delays. First of all, by using the generalized variable transformation, the FINNs model defined by a second-order equation is reduced to two first-order equations. Then, the influence of the fuzzy operations and time delays is offset by devising a proper scaling term. Moreover, by constructing appropriate Lyapunov functions and applying the mean inequality technique, several sufficient conditions are derived to ensure the fixed-time and preassigned-time synchronization for the discussed FINNs. As a result, several more accurate estimations for the settling time are obtained by means of some special functions. Finally, numerical examples are given to show the correctness of the results.
引用
收藏
页码：9503 / 9520
页数：18
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