Generalized Lyapunov approach for functional differential inclusions

被引：32
作者：
Cai, Zuowei [1 ,2 ]
Huang, Lihong [3 ]
机构：
[1] Hunan Womens Univ, Dept Informat Technol, Changsha 410004, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
[3] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China
来源：
AUTOMATICA | 2020年 / 113卷
基金：
中国国家自然科学基金;
关键词：
Functional differential inclusions; Filippov solution; Generalized Halanay inequalities; Uniformly ultimate boundedness (UUB); Uniformly asymptotic stability (UAS); NEURAL-NETWORKS; HALANAY INEQUALITIES; STABILITY; FEEDBACK; SYSTEMS;
D O I：
10.1016/j.automatica.2019.108740
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the generalized Lyapunov approach for functional differential inclusions (FDI). At first, we prove a class of generalized Halanay's inequalities. Then, by applying the generalization of Halanay's inequalities, we investigate the uniformly ultimate boundedness and uniformly asymptotic stability of FDI. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：5
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