Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays

Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays

This paper is concerned with the output synchronization problems for a class of delayed complex dynamical networks. Based on the invariant principle of functional differential equations and Lyapunov stability theory, the feedback controller and parameter update laws are constructed for a large-scale...

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Main Authors: Liangzhi Gan, Shuo Li, Na Duan, Xiangyong Kong
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Mathematics
Subjects:
chua system
complex dynamical networks
lorenz system
output synchronization
Online Access:https://www.mdpi.com/2227-7390/8/3/311
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spelling doaj-0586677093f14771b0f8dfc0477b0b1e2020-11-25T02:01:59ZengMDPI AGMathematics2227-73902020-03-018331110.3390/math8030311math8030311Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying DelaysLiangzhi Gan0Shuo Li1Na Duan2Xiangyong Kong3School of Electrical Engineering & Automation, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Electrical Engineering & Automation, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Electrical Engineering & Automation, Jiangsu Normal University, Xuzhou 221116, ChinaResearch Center for Complex Networks and Swarm Intelligence, Jiangsu Normal University, Xuzhou 221116, ChinaThis paper is concerned with the output synchronization problems for a class of delayed complex dynamical networks. Based on the invariant principle of functional differential equations and Lyapunov stability theory, the feedback controller and parameter update laws are constructed for a large-scale network with uncertainties. The general complex delayed network can achieve synchronization by adaptively adjusting their feedback gains. Numerical examples are presented to further verify the effectiveness of the proposed control scheme.https://www.mdpi.com/2227-7390/8/3/311chua systemcomplex dynamical networkslorenz systemoutput synchronization
collection DOAJ
language English
format Article
sources DOAJ
author Liangzhi Gan
Shuo Li
Na Duan
Xiangyong Kong
spellingShingle Liangzhi Gan
Shuo Li
Na Duan
Xiangyong Kong
Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays
Mathematics
chua system
complex dynamical networks
lorenz system
output synchronization
author_facet Liangzhi Gan
Shuo Li
Na Duan
Xiangyong Kong
author_sort Liangzhi Gan
title Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays
title_short Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays
title_full Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays
title_fullStr Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays
title_full_unstemmed Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays
title_sort adaptive output synchronization of general complex dynamical network with time-varying delays
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-03-01
description This paper is concerned with the output synchronization problems for a class of delayed complex dynamical networks. Based on the invariant principle of functional differential equations and Lyapunov stability theory, the feedback controller and parameter update laws are constructed for a large-scale network with uncertainties. The general complex delayed network can achieve synchronization by adaptively adjusting their feedback gains. Numerical examples are presented to further verify the effectiveness of the proposed control scheme.
topic chua system
complex dynamical networks
lorenz system
output synchronization
url https://www.mdpi.com/2227-7390/8/3/311
work_keys_str_mv AT liangzhigan adaptiveoutputsynchronizationofgeneralcomplexdynamicalnetworkwithtimevaryingdelays
AT shuoli adaptiveoutputsynchronizationofgeneralcomplexdynamicalnetworkwithtimevaryingdelays
AT naduan adaptiveoutputsynchronizationofgeneralcomplexdynamicalnetworkwithtimevaryingdelays
AT xiangyongkong adaptiveoutputsynchronizationofgeneralcomplexdynamicalnetworkwithtimevaryingdelays
_version_ 1724954638710472704

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