Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex Networks

This paper mainly deals with the issue of fixed-time synchronization of fuzzy-based impulsive complex networks. By developing fixed-time stability of impulsive systems and proposing a T-S fuzzy control strategy with pure power-law form, some simple criteria are acquired to achieve fixed-time synchro...

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Main Authors: Lu Pang, Cheng Hu, Juan Yu, Haijun Jiang
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/9/1533
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author Lu Pang
Cheng Hu
Juan Yu
Haijun Jiang
author_facet Lu Pang
Cheng Hu
Juan Yu
Haijun Jiang
author_sort Lu Pang
collection DOAJ
description This paper mainly deals with the issue of fixed-time synchronization of fuzzy-based impulsive complex networks. By developing fixed-time stability of impulsive systems and proposing a T-S fuzzy control strategy with pure power-law form, some simple criteria are acquired to achieve fixed-time synchronization of fuzzy-based impulsive complex networks and the estimation of the synchronized time is given. Ultimately, the presented control scheme and synchronization criteria are verified by numerical simulation.
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spelling doaj.art-e78037c15b824351aa41f589d77faa222023-11-23T08:45:46ZengMDPI AGMathematics2227-73902022-05-01109153310.3390/math10091533Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex NetworksLu Pang0Cheng Hu1Juan Yu2Haijun Jiang3College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, ChinaThis paper mainly deals with the issue of fixed-time synchronization of fuzzy-based impulsive complex networks. By developing fixed-time stability of impulsive systems and proposing a T-S fuzzy control strategy with pure power-law form, some simple criteria are acquired to achieve fixed-time synchronization of fuzzy-based impulsive complex networks and the estimation of the synchronized time is given. Ultimately, the presented control scheme and synchronization criteria are verified by numerical simulation.https://www.mdpi.com/2227-7390/10/9/1533fixed-time synchronizationcomplex networkimpulseT-S fuzzy logic
spellingShingle Lu Pang
Cheng Hu
Juan Yu
Haijun Jiang
Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex Networks
Mathematics
fixed-time synchronization
complex network
impulse
T-S fuzzy logic
title Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex Networks
title_full Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex Networks
title_fullStr Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex Networks
title_full_unstemmed Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex Networks
title_short Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex Networks
title_sort fixed time synchronization for fuzzy based impulsive complex networks
topic fixed-time synchronization
complex network
impulse
T-S fuzzy logic
url https://www.mdpi.com/2227-7390/10/9/1533
work_keys_str_mv AT lupang fixedtimesynchronizationforfuzzybasedimpulsivecomplexnetworks
AT chenghu fixedtimesynchronizationforfuzzybasedimpulsivecomplexnetworks
AT juanyu fixedtimesynchronizationforfuzzybasedimpulsivecomplexnetworks
AT haijunjiang fixedtimesynchronizationforfuzzybasedimpulsivecomplexnetworks