Extended Reciprocal Convex Techniques on Synchronization in Time-Delay Neutral Lur'e Systems

被引：2

作者：

Li, Tao ^{[1
]}

Shen, Shaobo ^{[2
]}

Tang, Xiaoling ^{[1
]}

Xu, Zhaowen ^{[3
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Sch Automat Engn, Nanjing 211106, Jiangsu, Peoples R China

[2] Southeast Univ, Sch Instrument Sci & Engn, Nanjing 210096, Jiangsu, Peoples R China

[3] Shenzhen Polytech Coll, Inst Intelligence Sci & Engn, Shenzhen 518055, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2019年 / 38卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Neutral Lur'e systems; Synchronization; Time-varying delay; Extended reciprocal convex technique (ERCT); Lyapunov-Krasovskii functional (LKF); MASTER-SLAVE SYNCHRONIZATION; NEURAL-NETWORKS; EXPONENTIAL SYNCHRONIZATION; STABILITY ANALYSIS; CRITERIA;

D O I：

10.1007/s00034-018-0946-x

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper studies the master-slave synchronization in a class of time-delay neutral Lur'e systems. Firstly, an augmented Lyapunov-Krasovskii functional (LKF) is constructed after fully utilizing the restrictions on time-varying delay and nonlinearities. Then, an extended reciprocal convex technique is proposed to estimate the LKF's derivative, and some less conservative conditions are presented in terms of linear matrix inequalities. Furthermore, our methods can be applied to tackle more general cases such as the systems with different time-delays, delay-partitioning idea, and triple LKF method. Finally, two numerical examples are given to show the effectiveness and benefits of the proposed methods.

引用

页码：1942 / 1961

页数：20

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