Prescribed‐time fault‐tolerant synchronization control of complex dynamical networks using time‐varying protocols.

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Title: Prescribed‐time fault‐tolerant synchronization control of complex dynamical networks using time‐varying protocols.
Authors: Lodhi, Zain ul Aabidin1 (AUTHOR), Zhang, Kai1 (AUTHOR) 19b904075@stu.hit.edu.cn
Source: Asian Journal of Control. May2025, Vol. 27 Issue 3, p1323-1334. 12p.
Subjects: Parametric equations, Dynamical systems, Actuators, Synchronization, Topology
Abstract: This research delves into the intricacies of the prescribed‐time synchronization control problem of a class of complex dynamical systems, all while factoring in the presence of time‐varying actuator faults. An innovative time‐varying protocol is initially established for the case of additive actuator faults, hinging on the solution to a particular set of parametric Lyapunov equations. Through the astute exploitation of the scalarization properties intrinsic to the solution to the parametric Lyapunov equation, the time‐varying parameter within the protocol is effectively ascertained. Furthermore, to mitigate the impact stemming from multiplicative actuator fault(s), an alternative protocol is also introduced. Through rigorous analysis rooted in the principles of Lyapunov, it is demonstrated that the synchronization errors in both scenarios remain bounded, ultimately converging to zero within a predetermined time frame. The developed protocols are employed in coupled Chua's circuit control systems with faulty actuators, and simulation results validate the efficacy of the proposed approaches. [ABSTRACT FROM AUTHOR]
Copyright of Asian Journal of Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Prescribed‐time fault‐tolerant synchronization control of complex dynamical networks using time‐varying protocols.
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  Data: <searchLink fieldCode="AR" term="%22Lodhi%2C+Zain+ul+Aabidin%22">Lodhi, Zain ul Aabidin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Kai%22">Zhang, Kai</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> 19b904075@stu.hit.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. May2025, Vol. 27 Issue 3, p1323-1334. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Parametric+equations%22">Parametric equations</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamical+systems%22">Dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Actuators%22">Actuators</searchLink><br /><searchLink fieldCode="DE" term="%22Synchronization%22">Synchronization</searchLink><br /><searchLink fieldCode="DE" term="%22Topology%22">Topology</searchLink>
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  Label: Abstract
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  Data: This research delves into the intricacies of the prescribed‐time synchronization control problem of a class of complex dynamical systems, all while factoring in the presence of time‐varying actuator faults. An innovative time‐varying protocol is initially established for the case of additive actuator faults, hinging on the solution to a particular set of parametric Lyapunov equations. Through the astute exploitation of the scalarization properties intrinsic to the solution to the parametric Lyapunov equation, the time‐varying parameter within the protocol is effectively ascertained. Furthermore, to mitigate the impact stemming from multiplicative actuator fault(s), an alternative protocol is also introduced. Through rigorous analysis rooted in the principles of Lyapunov, it is demonstrated that the synchronization errors in both scenarios remain bounded, ultimately converging to zero within a predetermined time frame. The developed protocols are employed in coupled Chua's circuit control systems with faulty actuators, and simulation results validate the efficacy of the proposed approaches. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Asian Journal of Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1002/asjc.3506
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 12
        StartPage: 1323
    Subjects:
      – SubjectFull: Parametric equations
        Type: general
      – SubjectFull: Dynamical systems
        Type: general
      – SubjectFull: Actuators
        Type: general
      – SubjectFull: Synchronization
        Type: general
      – SubjectFull: Topology
        Type: general
    Titles:
      – TitleFull: Prescribed‐time fault‐tolerant synchronization control of complex dynamical networks using time‐varying protocols.
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            NameFull: Lodhi, Zain ul Aabidin
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            NameFull: Zhang, Kai
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            – D: 01
              M: 05
              Text: May2025
              Type: published
              Y: 2025
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              Value: 27
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              Value: 3
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            – TitleFull: Asian Journal of Control
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