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Network-based Finite-time Control for Fuzzy Time-delay Systems Subject to Randomly Occurring Uncertainties.

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Title: Network-based Finite-time Control for Fuzzy Time-delay Systems Subject to Randomly Occurring Uncertainties.
Authors: Yao, H. J.1 yaohejun@aynu.edu.cn
Source: IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2596-2602. 7p.
Subjects: Time delay systems, Matrix inequalities, Control theory (Engineering), MatLab (Computer software), Lyapunov functions, Computer networks
Abstract: To investigate the finite-time stabilization of the networked system, two independent stochastic variables are employed to quantitatively characterize the stochastic uncertainties inherent in the system, which leads to the development of a comprehensive stochastic mathematical model for the networked system under consideration. In order to effectively tackle the delays that may occur within the system, we propose an innovative Lyapunov functional that incorporates an integral block. This advancement is significant as it enhances the characterization of system stability over finite time interval. To establish conditions for the system's delay-dependent finite-time stabilization, we employ matrix transformation techniques. Furthermore, we implement a linear matrix inequality framework, which facilitates the identification of the necessary criteria of a finite-time fuzzy controller. The conditions outlined can be systematically resolved using MATLAB to compute the gain matrix effectively. [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: 195026892
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PubType: Academic Journal
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  Data: Network-based Finite-time Control for Fuzzy Time-delay Systems Subject to Randomly Occurring Uncertainties.
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  Data: <searchLink fieldCode="AR" term="%22Yao%2C+H%2E+J%2E%22">Yao, H. J.</searchLink><relatesTo>1</relatesTo><i> yaohejun@aynu.edu.cn</i>
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  Data: <searchLink fieldCode="DE" term="%22Time+delay+systems%22">Time delay systems</searchLink><br /><searchLink fieldCode="DE" term="%22Matrix+inequalities%22">Matrix inequalities</searchLink><br /><searchLink fieldCode="DE" term="%22Control+theory+%28Engineering%29%22">Control theory (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22MatLab+%28Computer+software%29%22">MatLab (Computer software)</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+functions%22">Lyapunov functions</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+networks%22">Computer networks</searchLink>
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  Data: To investigate the finite-time stabilization of the networked system, two independent stochastic variables are employed to quantitatively characterize the stochastic uncertainties inherent in the system, which leads to the development of a comprehensive stochastic mathematical model for the networked system under consideration. In order to effectively tackle the delays that may occur within the system, we propose an innovative Lyapunov functional that incorporates an integral block. This advancement is significant as it enhances the characterization of system stability over finite time interval. To establish conditions for the system's delay-dependent finite-time stabilization, we employ matrix transformation techniques. Furthermore, we implement a linear matrix inequality framework, which facilitates the identification of the necessary criteria of a finite-time fuzzy controller. The conditions outlined can be systematically resolved using MATLAB to compute the gain matrix effectively. [ABSTRACT FROM AUTHOR]
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  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: 7
        StartPage: 2596
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      – SubjectFull: Time delay systems
        Type: general
      – SubjectFull: Matrix inequalities
        Type: general
      – SubjectFull: Control theory (Engineering)
        Type: general
      – SubjectFull: MatLab (Computer software)
        Type: general
      – SubjectFull: Lyapunov functions
        Type: general
      – SubjectFull: Computer networks
        Type: general
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      – TitleFull: Network-based Finite-time Control for Fuzzy Time-delay Systems Subject to Randomly Occurring Uncertainties.
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              M: 07
              Text: Jul2026
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              Y: 2026
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