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Two-Sided Delay Compensation Design for 2 × 2 Linear Coupled Hyperbolic PDE Systems.

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Title: Two-Sided Delay Compensation Design for 2 × 2 Linear Coupled Hyperbolic PDE Systems.
Authors: Sun, Wei1 058056@chu.edu.cn, Xu, Liangyu1 058059@chu.edu.cn, Pan, Yali1 panlijiyang@163.com
Source: IAENG International Journal of Applied Mathematics. Jun2026, Vol. 56 Issue 6, p2150-2158. 9p.
Subjects: Backstepping control method, Time delay systems, Integral operators, Partial differential equations, Fredholm operators
Abstract: This paper introduces a novel backstepping control strategy for 2 × 2 linear hyperbolic systems subject to significant actuator and sensor delays. Developing a two-sided delay control scheme represents a significant and nontrivial advancement over conventional one-sided approaches. Initially, transport equations are employed to model the delays, yielding an equivalent delay-free system. Subsequently, a novel backstepping transformation, comprising two Fredholm and two affine-Volterra transformations, is proposed to map the equivalent system to a target system with well-defined dynamic properties. Compared to traditional one-sided control schemes, this two-sided approach offers superior control performance and achieves faster convergence. Finally, the effectiveness of the proposed method is demonstrated through a numerical case study. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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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DbLabel: Engineering Source
An: 194195904
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  Data: Two-Sided Delay Compensation Design for 2 × 2 Linear Coupled Hyperbolic PDE Systems.
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  Data: <searchLink fieldCode="AR" term="%22Sun%2C+Wei%22">Sun, Wei</searchLink><relatesTo>1</relatesTo><i> 058056@chu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Xu%2C+Liangyu%22">Xu, Liangyu</searchLink><relatesTo>1</relatesTo><i> 058059@chu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Pan%2C+Yali%22">Pan, Yali</searchLink><relatesTo>1</relatesTo><i> panlijiyang@163.com</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jun2026, Vol. 56 Issue 6, p2150-2158. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Backstepping+control+method%22">Backstepping control method</searchLink><br /><searchLink fieldCode="DE" term="%22Time+delay+systems%22">Time delay systems</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+operators%22">Integral operators</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Fredholm+operators%22">Fredholm operators</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper introduces a novel backstepping control strategy for 2 × 2 linear hyperbolic systems subject to significant actuator and sensor delays. Developing a two-sided delay control scheme represents a significant and nontrivial advancement over conventional one-sided approaches. Initially, transport equations are employed to model the delays, yielding an equivalent delay-free system. Subsequently, a novel backstepping transformation, comprising two Fredholm and two affine-Volterra transformations, is proposed to map the equivalent system to a target system with well-defined dynamic properties. Compared to traditional one-sided control schemes, this two-sided approach offers superior control performance and achieves faster convergence. Finally, the effectiveness of the proposed method is demonstrated through a numerical case study. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 2150
    Subjects:
      – SubjectFull: Backstepping control method
        Type: general
      – SubjectFull: Time delay systems
        Type: general
      – SubjectFull: Integral operators
        Type: general
      – SubjectFull: Partial differential equations
        Type: general
      – SubjectFull: Fredholm operators
        Type: general
    Titles:
      – TitleFull: Two-Sided Delay Compensation Design for 2 × 2 Linear Coupled Hyperbolic PDE Systems.
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            NameFull: Sun, Wei
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            NameFull: Xu, Liangyu
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            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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            – TitleFull: IAENG International Journal of Applied Mathematics
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