Fixed-Time Stability for Discontinuous Uncertain Inertial Neural Networks With Time-Varying Delays

被引：41

作者：

Kong, Fanchao ^{[1
,2
]}

Zhu, Quanxin ^{[3
]}

Huang, Tingwen ^{[4
]}

机构：

[1] Anhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China

[2] Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Peoples R China

[3] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Peoples R China

[4] Texas A&M Univ Qatar, Sci Program, Doha, Qatar

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2022年 / 52卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Stability criteria; Delays; Uncertain systems; Synchronization; Artificial neural networks; Uncertainty; Time-varying systems; Fixed-time stability (FTS); indefinite derivative; inertial neural networks; Lyapunov-Krasovskii functional (LKF); GLOBAL EXPONENTIAL STABILITY; FINITE-TIME; SYNCHRONIZATION; STABILIZATION; SYSTEMS; PERIODICITY; ACTIVATIONS; EXISTENCE; DESIGN;

D O I：

10.1109/TSMC.2021.3096261

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, a class of discontinuous inertial neural networks (DINNs) with parameter uncertainties and time delays is studied. The main aim is to investigate the new fixed-time stability (FTS). In order to achieve the targets, first, by introducing the generalized variable transformation and differential inclusions theory, two kinds of drive-response differential inclusion systems are established. Based on the definition of FTS and inequality technologies, by constructing the Lyapunov-Krasovskii functional (LKF), whose derivative is allowed to be indefinite, new delay-dependent criteria shown by some simple inequalities are derived for the purposing of achieving the FTS based on the designed discontinuous control strategies. Moreover, the new settling time (ST) is given. Compared to the previous stability results on INNs, the results established and the approaches applied are absolutely new. Finally, examples are given to show the effectiveness of the established results.

引用

页码：4507 / 4517

页数：11

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