Event–Triggered Fixed–Time Resilient Control for Mobile Sensor Networks with a Sybil Attack and Input Delay

This study is devoted to the resilient control problem of a mobile sensor network with a Sybil attack and input delay. First, a fixed-time observer is constructed to estimate the state exactly, which makes it possible to calculate the settling time. Then, the delayed system is transformed into a del...

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Main Authors: Zhou Ding, He Lei, Cao Zhigang, Zhang An, Han Xiaopeng
Format: Article
Language:English
Published: Sciendo 2025-03-01
Series:International Journal of Applied Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.61822/amcs-2025-0010
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author Zhou Ding
He Lei
Cao Zhigang
Zhang An
Han Xiaopeng
author_facet Zhou Ding
He Lei
Cao Zhigang
Zhang An
Han Xiaopeng
author_sort Zhou Ding
collection DOAJ
description This study is devoted to the resilient control problem of a mobile sensor network with a Sybil attack and input delay. First, a fixed-time observer is constructed to estimate the state exactly, which makes it possible to calculate the settling time. Then, the delayed system is transformed into a delay-free system by introducing Artstein’s transformation, and a confidence metric is used to tackle the Sybil attack problem, which requires no additional data storage beyond signals. Furthermore, a novel distributed event-triggered fixed-time control scheme is proposed, and a triggering function is developed to generate triggering events asynchronously. Using the presented triggering function, each sensor communicates in discrete time, which is fully continuous-communication free. Several sufficient conditions are obtained, and a rigorous proof is given using Lyapunov stability and fixed-time stability theories. Finally, simulation results are presented to demonstrate the efficiency of the theoretical results such as the flocking context.
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id doaj-art-1eabbf06d0c7413b80f1e36924670db0
institution OA Journals
issn 2083-8492
language English
publishDate 2025-03-01
publisher Sciendo
record_format Article
series International Journal of Applied Mathematics and Computer Science
spelling doaj-art-1eabbf06d0c7413b80f1e36924670db02025-08-20T02:25:45ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922025-03-0135112914210.61822/amcs-2025-0010Event–Triggered Fixed–Time Resilient Control for Mobile Sensor Networks with a Sybil Attack and Input DelayZhou Ding0He Lei1Cao Zhigang2Zhang An3Han Xiaopeng41Endogenous Security Research Center Purple Mountain Laboratories9 Mozhou Road, Nanjing, 211111, China1Endogenous Security Research Center Purple Mountain Laboratories9 Mozhou Road, Nanjing, 211111, China1Endogenous Security Research Center Purple Mountain Laboratories9 Mozhou Road, Nanjing, 211111, China2School of Aeronautics Northwestern Polytechnical University127 Youyi Road, Xi’an, 710072, China1Endogenous Security Research Center Purple Mountain Laboratories9 Mozhou Road, Nanjing, 211111, ChinaThis study is devoted to the resilient control problem of a mobile sensor network with a Sybil attack and input delay. First, a fixed-time observer is constructed to estimate the state exactly, which makes it possible to calculate the settling time. Then, the delayed system is transformed into a delay-free system by introducing Artstein’s transformation, and a confidence metric is used to tackle the Sybil attack problem, which requires no additional data storage beyond signals. Furthermore, a novel distributed event-triggered fixed-time control scheme is proposed, and a triggering function is developed to generate triggering events asynchronously. Using the presented triggering function, each sensor communicates in discrete time, which is fully continuous-communication free. Several sufficient conditions are obtained, and a rigorous proof is given using Lyapunov stability and fixed-time stability theories. Finally, simulation results are presented to demonstrate the efficiency of the theoretical results such as the flocking context.https://doi.org/10.61822/amcs-2025-0010resilient consensusevent-triggered controlsybil attackinput delay
spellingShingle Zhou Ding
He Lei
Cao Zhigang
Zhang An
Han Xiaopeng
Event–Triggered Fixed–Time Resilient Control for Mobile Sensor Networks with a Sybil Attack and Input Delay
International Journal of Applied Mathematics and Computer Science
resilient consensus
event-triggered control
sybil attack
input delay
title Event–Triggered Fixed–Time Resilient Control for Mobile Sensor Networks with a Sybil Attack and Input Delay
title_full Event–Triggered Fixed–Time Resilient Control for Mobile Sensor Networks with a Sybil Attack and Input Delay
title_fullStr Event–Triggered Fixed–Time Resilient Control for Mobile Sensor Networks with a Sybil Attack and Input Delay
title_full_unstemmed Event–Triggered Fixed–Time Resilient Control for Mobile Sensor Networks with a Sybil Attack and Input Delay
title_short Event–Triggered Fixed–Time Resilient Control for Mobile Sensor Networks with a Sybil Attack and Input Delay
title_sort event triggered fixed time resilient control for mobile sensor networks with a sybil attack and input delay
topic resilient consensus
event-triggered control
sybil attack
input delay
url https://doi.org/10.61822/amcs-2025-0010
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AT helei eventtriggeredfixedtimeresilientcontrolformobilesensornetworkswithasybilattackandinputdelay
AT caozhigang eventtriggeredfixedtimeresilientcontrolformobilesensornetworkswithasybilattackandinputdelay
AT zhangan eventtriggeredfixedtimeresilientcontrolformobilesensornetworkswithasybilattackandinputdelay
AT hanxiaopeng eventtriggeredfixedtimeresilientcontrolformobilesensornetworkswithasybilattackandinputdelay