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Practical Exponential Stability of Switched Generalized Homogeneous Positive Nonlinear Systems with Bounded Disturbances.

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Title: Practical Exponential Stability of Switched Generalized Homogeneous Positive Nonlinear Systems with Bounded Disturbances.
Authors: Huang, Yanwen1 (AUTHOR) sxyhyw0323@163.com, Wu, Baowei1 (AUTHOR) wubw@snnu.edu.cn, Wang, Yue-E.1 (AUTHOR) baihewye@126.com, Liu, Lili1 (AUTHOR) liulily@snnu.edu.cn
Source: Circuits, Systems & Signal Processing. Jun2025, Vol. 44 Issue 6, p3793-3809. 17p.
Subjects: Positive systems, Nonlinear systems, Lyapunov functions, Homogeneity
Abstract: The practical exponential stability of switched generalized homogeneous positive nonlinear systems with bounded disturbances is investigated in this paper. Different from the existing results, the concept of generalized homogeneity is employed to study is employed to study switched homogeneous positive nonlinear systems, which promotes the analysis and application of relevant theories. By utilizing the improved max-separable Lyapunov function, more relaxed conditions for exponential stability are obtained for switched generalized homogeneous positive nonlinear systems in continuous and discrete time without disturbances. Their practical exponential stability with disturbances is achieved in both time domains. The validity of the results in this paper is demonstrated through three examples. [ABSTRACT FROM AUTHOR]
Copyright of Circuits, Systems & Signal Processing is the property of Springer Nature 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: Practical Exponential Stability of Switched Generalized Homogeneous Positive Nonlinear Systems with Bounded Disturbances.
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  Data: <searchLink fieldCode="AR" term="%22Huang%2C+Yanwen%22">Huang, Yanwen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sxyhyw0323@163.com</i><br /><searchLink fieldCode="AR" term="%22Wu%2C+Baowei%22">Wu, Baowei</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> wubw@snnu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Yue-E%2E%22">Wang, Yue-E.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> baihewye@126.com</i><br /><searchLink fieldCode="AR" term="%22Liu%2C+Lili%22">Liu, Lili</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> liulily@snnu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Circuits%2C+Systems+%26+Signal+Processing%22">Circuits, Systems & Signal Processing</searchLink>. Jun2025, Vol. 44 Issue 6, p3793-3809. 17p.
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  Label: Abstract
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  Data: The practical exponential stability of switched generalized homogeneous positive nonlinear systems with bounded disturbances is investigated in this paper. Different from the existing results, the concept of generalized homogeneity is employed to study is employed to study switched homogeneous positive nonlinear systems, which promotes the analysis and application of relevant theories. By utilizing the improved max-separable Lyapunov function, more relaxed conditions for exponential stability are obtained for switched generalized homogeneous positive nonlinear systems in continuous and discrete time without disturbances. Their practical exponential stability with disturbances is achieved in both time domains. The validity of the results in this paper is demonstrated through three examples. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Circuits, Systems & Signal Processing is the property of Springer Nature 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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        Value: 10.1007/s00034-024-02985-8
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        Text: English
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        Type: general
      – SubjectFull: Nonlinear systems
        Type: general
      – SubjectFull: Lyapunov functions
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      – SubjectFull: Homogeneity
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              M: 06
              Text: Jun2025
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