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

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Journal	International Journal of Control, Automation and Systems
DOIs	https://doi.org/10.1007/s12555-020-0111-8
Publication status	Accepted/In press - 2021

Keywords

Chaotic Lur’e systems
improved integral inequality
synchronization
time-varying delay

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

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10.1007/s12555-020-0111-8

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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. ",

year = "2021",

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

language = "English",

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

issn = "1598-6446",

publisher = "Institute of Control, Robotics and Systems",

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TY - JOUR

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

AU - Wu, Yefan

AU - Xiong, Lianglin

AU - Zhai, Guisheng

AU - Wu, Tao

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China under Grant No.12061088.

PY - 2021

Y1 - 2021

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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