Delay-range-dependent Script capital H∞ synchronization approaches for time-delay chaotic systems

被引：1

作者：

Pan, Li ^{[1
,2
,3
]}

He, Ping ^{[1
]}

Li, Zuxin ^{[4
]}

Mi, Haoyang ^{[5
]}

Wang, Hong ^{[3
]}

机构：

[1] Sichuan Univ Sci & Engn, Sch Automat & Informat Engn, Chengdu, Sichuan, Peoples R China

[2] Sichuan Univ Sci & Engn, Artificial Intelligence Key Lab Sichuan Prov, Chengdu, Sichuan, Peoples R China

[3] Harbin Inst Technol Shenzhen, Sch Mech Engn & Automat, Shenzhen, Guangdong, Peoples R China

[4] Huzhou Univ, Sch Engn, Huzhou, Peoples R China

[5] Zhengzhou Univ, Natl Engn Res Ctr Adv Polymer Proc Technol, Zhengzhou, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2022年 / 99卷 / 05期

基金：

中国国家自然科学基金;

关键词：

H-infinity control; synchronization; chaotic system; linear matrix inequality; ROBUST ADAPTIVE SYNCHRONIZATION; VARYING DELAYS; NEURAL-NETWORKS;

D O I：

10.1080/00207160.2021.1940976

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to investigate the problem of H-infinity controller design for synchronization of the chaotic drive and response systems accompanied with bounded time delays limited by delay rates, uncertain parameters and admissible destabilization. An adequate condition is obtained employing the linear matrix inequality and a neoteric Lyapunov-Krasovskii functional to guarantee the global exponential synchronization of the studied chaotic systems. A control law is applied which would be added to the studied systems such that we can ensure the synchronization of the objective systems. The approach is proposed to solve the problem of the asymptotic H-infinity synchronization of the studied systems. Numerical examples are illustrated to prove the feasibility and effectiveness of the current approach in this paper.

引用

页码：949 / 965

页数：17

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