Analysis and adaptive control for synchronization and H∞ synchronization of coupled partial differential systems with multiple time-varying delays

Xiao Xiao Zhang; Jin Liang Wang; Yan Li Huang; Shun Yan Ren

doi:10.1016/j.jfranklin.2018.04.019

Analysis and adaptive control for synchronization and H_∞ synchronization of coupled partial differential systems with multiple time-varying delays

Xiao Xiao Zhang
, Jin Liang Wang^*
, Yan Li Huang
, Shun Yan Ren

^*Corresponding author for this work

Tiangong University

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

9 Scopus citations

Abstract

In this paper, synchronization and H_∞ synchronization of coupled partial differential systems are respectively investigated. With the help of Lyapunov functional method, several criteria which ensure synchronization and H_∞ synchronization of coupled partial differential systems are established. In addition, we also investigate adaptive synchronization and H_∞ synchronization problems of coupled partial differential systems by designing appropriate controller. Finally, the numerical examples verify correctness of the obtained synchronization and H_∞ synchronization criteria.

Original language	English
Pages (from-to)	4351-4378
Number of pages	28
Journal	Journal of the Franklin Institute
Volume	355
Issue number	10
DOIs	https://doi.org/10.1016/j.jfranklin.2018.04.019
State	Published - Jul 2018
Externally published	Yes

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10.1016/j.jfranklin.2018.04.019

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title = "Analysis and adaptive control for synchronization and H∞ synchronization of coupled partial differential systems with multiple time-varying delays",

abstract = "In this paper, synchronization and H∞ synchronization of coupled partial differential systems are respectively investigated. With the help of Lyapunov functional method, several criteria which ensure synchronization and H∞ synchronization of coupled partial differential systems are established. In addition, we also investigate adaptive synchronization and H∞ synchronization problems of coupled partial differential systems by designing appropriate controller. Finally, the numerical examples verify correctness of the obtained synchronization and H∞ synchronization criteria.",

author = "Zhang, \{Xiao Xiao\} and Wang, \{Jin Liang\} and Huang, \{Yan Li\} and Ren, \{Shun Yan\}",

note = "Publisher Copyright: {\textcopyright} 2018 The Franklin Institute",

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doi = "10.1016/j.jfranklin.2018.04.019",

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AU - Zhang, Xiao Xiao

AU - Wang, Jin Liang

AU - Huang, Yan Li

AU - Ren, Shun Yan

PY - 2018/7

Y1 - 2018/7

N2 - In this paper, synchronization and H∞ synchronization of coupled partial differential systems are respectively investigated. With the help of Lyapunov functional method, several criteria which ensure synchronization and H∞ synchronization of coupled partial differential systems are established. In addition, we also investigate adaptive synchronization and H∞ synchronization problems of coupled partial differential systems by designing appropriate controller. Finally, the numerical examples verify correctness of the obtained synchronization and H∞ synchronization criteria.

AB - In this paper, synchronization and H∞ synchronization of coupled partial differential systems are respectively investigated. With the help of Lyapunov functional method, several criteria which ensure synchronization and H∞ synchronization of coupled partial differential systems are established. In addition, we also investigate adaptive synchronization and H∞ synchronization problems of coupled partial differential systems by designing appropriate controller. Finally, the numerical examples verify correctness of the obtained synchronization and H∞ synchronization criteria.

UR - https://www.scopus.com/pages/publications/85046761783

U2 - 10.1016/j.jfranklin.2018.04.019

DO - 10.1016/j.jfranklin.2018.04.019

M3 - 文章

AN - SCOPUS:85046761783

SN - 0016-0032

VL - 355

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JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

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ER -

Analysis and adaptive control for synchronization and H_∞ synchronization of coupled partial differential systems with multiple time-varying delays

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