Improved Synchronization Analysis for Delayed Lur’e Systems Using Improved Technique

Yefan Wu; Lianglin Xiong; Guisheng Zhai; Tao Wu

doi:10.1007/s12555-020-0111-8

Improved Synchronization Analysis for Delayed Lur’e Systems Using Improved Technique

Yefan Wu, Lianglin Xiong, Guisheng Zhai, Tao Wu

研究成果: Article › 査読

8 被引用数 (Scopus)

抄録

The master-slave synchronization (MSS) issue of chaotic Lur’e systems (LSs) with time-varying delay (TVD) is explored in this work by means of feedback control. After taking the nonlinear function into full consideration, a creative Lyapunov-Krasovskii functional (LKF) is attained. Then novel criteria which ensure the synchronization of the studied systems are obtained with the aid of the improved inequality technique and the reciprocally convex combination method to cope with the derivative of LKF. The effectiveness and virtues of the synchronization conditions are testified via the notable Chua’s circuit in three different cases.

本文言語	English
ページ（範囲）	1480-1490
ページ数	11
ジャーナル	International Journal of Control, Automation and Systems
巻	19
号	4
DOI	https://doi.org/10.1007/s12555-020-0111-8
出版ステータス	Published - 2021 4月

ASJC Scopus subject areas

制御およびシステム工学
コンピュータサイエンスの応用

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10.1007/s12555-020-0111-8

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引用スタイル

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title = "Improved Synchronization Analysis for Delayed Lur{\textquoteright}e Systems Using Improved Technique",

abstract = "The master-slave synchronization (MSS) issue of chaotic Lur{\textquoteright}e systems (LSs) with time-varying delay (TVD) is explored in this work by means of feedback control. After taking the nonlinear function into full consideration, a creative Lyapunov-Krasovskii functional (LKF) is attained. Then novel criteria which ensure the synchronization of the studied systems are obtained with the aid of the improved inequality technique and the reciprocally convex combination method to cope with the derivative of LKF. The effectiveness and virtues of the synchronization conditions are testified via the notable Chua{\textquoteright}s circuit in three different cases.",

keywords = "Chaotic Lur{\textquoteright}e systems, improved integral inequality, synchronization, time-varying delay",

author = "Yefan Wu and Lianglin Xiong and Guisheng Zhai and Tao Wu",

note = "Funding Information: This work was supported by the National Natural Science Foundation of China under Grant No.12061088. Publisher Copyright: {\textcopyright} 2021, ICROS, KIEE and Springer.",

year = "2021",

month = apr,

doi = "10.1007/s12555-020-0111-8",

language = "English",

volume = "19",

pages = "1480--1490",

journal = "International Journal of Control, Automation and Systems",

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T1 - Improved Synchronization Analysis for Delayed Lur’e Systems Using Improved Technique

AU - Wu, Yefan

AU - Xiong, Lianglin

AU - Zhai, Guisheng

AU - Wu, Tao

PY - 2021/4

Y1 - 2021/4

N2 - The master-slave synchronization (MSS) issue of chaotic Lur’e systems (LSs) with time-varying delay (TVD) is explored in this work by means of feedback control. After taking the nonlinear function into full consideration, a creative Lyapunov-Krasovskii functional (LKF) is attained. Then novel criteria which ensure the synchronization of the studied systems are obtained with the aid of the improved inequality technique and the reciprocally convex combination method to cope with the derivative of LKF. The effectiveness and virtues of the synchronization conditions are testified via the notable Chua’s circuit in three different cases.

AB - The master-slave synchronization (MSS) issue of chaotic Lur’e systems (LSs) with time-varying delay (TVD) is explored in this work by means of feedback control. After taking the nonlinear function into full consideration, a creative Lyapunov-Krasovskii functional (LKF) is attained. Then novel criteria which ensure the synchronization of the studied systems are obtained with the aid of the improved inequality technique and the reciprocally convex combination method to cope with the derivative of LKF. The effectiveness and virtues of the synchronization conditions are testified via the notable Chua’s circuit in three different cases.

KW - Chaotic Lur’e systems

KW - improved integral inequality

KW - synchronization

KW - time-varying delay

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Improved Synchronization Analysis for Delayed Lur’e Systems Using Improved Technique

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