Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method

Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method

This paper investigates the synchronization of general complex dynamical networks (CDNs) with both internal delay and transmission delay. Event-triggered mechanism is applied for the feedback controllers, in which the triggered function is formed as a nonincreasing function. Both continuous feedback...

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Main Authors: Fei Wang, Zhaowen Zheng, Yongqing Yang
Format: Article
Language:English
Published: Hindawi-Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/7348572
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spelling doaj-84ac0cb2dfba470bad1f2a687d7c45182020-11-25T01:56:26ZengHindawi-WileyComplexity1076-27871099-05262019-01-01201910.1155/2019/73485727348572Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function MethodFei Wang0Zhaowen Zheng1Yongqing Yang2School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaSchool of Science, Jiangnan University, Wuxi 214122, Jiangsu, ChinaThis paper investigates the synchronization of general complex dynamical networks (CDNs) with both internal delay and transmission delay. Event-triggered mechanism is applied for the feedback controllers, in which the triggered function is formed as a nonincreasing function. Both continuous feedback and sampled-data feedback methods are studied. According to Lyapunov stability theorem and generalized Halanay’s inequality, quasi-synchronization criteria are derived at first. The synchronization error is bounded with some parameters of the triggered function. Then, the completed synchronization can be guaranteed as a special case. Finally, coupled neural networks as numerical simulation examples are given to verify the theoretical results.http://dx.doi.org/10.1155/2019/7348572
collection DOAJ
language English
format Article
sources DOAJ
author Fei Wang
Zhaowen Zheng
Yongqing Yang
spellingShingle Fei Wang
Zhaowen Zheng
Yongqing Yang
Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method
Complexity
author_facet Fei Wang
Zhaowen Zheng
Yongqing Yang
author_sort Fei Wang
title Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method
title_short Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method
title_full Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method
title_fullStr Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method
title_full_unstemmed Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method
title_sort synchronization of complex dynamical networks with hybrid time delay under event-triggered control: the threshold function method
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2019-01-01
description This paper investigates the synchronization of general complex dynamical networks (CDNs) with both internal delay and transmission delay. Event-triggered mechanism is applied for the feedback controllers, in which the triggered function is formed as a nonincreasing function. Both continuous feedback and sampled-data feedback methods are studied. According to Lyapunov stability theorem and generalized Halanay’s inequality, quasi-synchronization criteria are derived at first. The synchronization error is bounded with some parameters of the triggered function. Then, the completed synchronization can be guaranteed as a special case. Finally, coupled neural networks as numerical simulation examples are given to verify the theoretical results.
url http://dx.doi.org/10.1155/2019/7348572
work_keys_str_mv AT feiwang synchronizationofcomplexdynamicalnetworkswithhybridtimedelayundereventtriggeredcontrolthethresholdfunctionmethod
AT zhaowenzheng synchronizationofcomplexdynamicalnetworkswithhybridtimedelayundereventtriggeredcontrolthethresholdfunctionmethod
AT yongqingyang synchronizationofcomplexdynamicalnetworkswithhybridtimedelayundereventtriggeredcontrolthethresholdfunctionmethod
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