Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control

Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control

This article is related to the issue of fixed-time synchronization of different dimensional complex network systems with unknown parameters. Two suitable adaptive controllers and dynamic parameter estimations are proposed such that the complex network driving and response systems can be synchronized...

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Main Authors: Yude Ji, Yunli Gong, Shan Su, Xiaoxue Bai
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/6680287
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spelling doaj-f14e7b18bcb2432cbae5b3c145921de92021-02-15T12:52:50ZengHindawi-WileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66802876680287Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive ControlYude Ji0Yunli Gong1Shan Su2Xiaoxue Bai3College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, ChinaCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, ChinaCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, ChinaCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, ChinaThis article is related to the issue of fixed-time synchronization of different dimensional complex network systems with unknown parameters. Two suitable adaptive controllers and dynamic parameter estimations are proposed such that the complex network driving and response systems can be synchronized in the settling time. Based on fixed-time control theory and Lyapunov functional method, novel sufficient conditions are provided to guarantee the synchronization within the fixed times, and the settling times are explicitly evaluated, which are independent of the initial synchronization errors. Finally, a numerical example is given to illustrate the effectiveness of the proposed control algorithms.http://dx.doi.org/10.1155/2021/6680287
collection DOAJ
language English
format Article
sources DOAJ
author Yude Ji
Yunli Gong
Shan Su
Xiaoxue Bai
spellingShingle Yude Ji
Yunli Gong
Shan Su
Xiaoxue Bai
Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control
Complexity
author_facet Yude Ji
Yunli Gong
Shan Su
Xiaoxue Bai
author_sort Yude Ji
title Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control
title_short Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control
title_full Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control
title_fullStr Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control
title_full_unstemmed Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control
title_sort fixed-time synchronization for different dimensional complex network systems with unknown parameters via adaptive control
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2021-01-01
description This article is related to the issue of fixed-time synchronization of different dimensional complex network systems with unknown parameters. Two suitable adaptive controllers and dynamic parameter estimations are proposed such that the complex network driving and response systems can be synchronized in the settling time. Based on fixed-time control theory and Lyapunov functional method, novel sufficient conditions are provided to guarantee the synchronization within the fixed times, and the settling times are explicitly evaluated, which are independent of the initial synchronization errors. Finally, a numerical example is given to illustrate the effectiveness of the proposed control algorithms.
url http://dx.doi.org/10.1155/2021/6680287
work_keys_str_mv AT yudeji fixedtimesynchronizationfordifferentdimensionalcomplexnetworksystemswithunknownparametersviaadaptivecontrol
AT yunligong fixedtimesynchronizationfordifferentdimensionalcomplexnetworksystemswithunknownparametersviaadaptivecontrol
AT shansu fixedtimesynchronizationfordifferentdimensionalcomplexnetworksystemswithunknownparametersviaadaptivecontrol
AT xiaoxuebai fixedtimesynchronizationfordifferentdimensionalcomplexnetworksystemswithunknownparametersviaadaptivecontrol
_version_ 1714867077353832448

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