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Cyclic switching laws for practical stability of integrator switched systems with constant period time.

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Title: Cyclic switching laws for practical stability of integrator switched systems with constant period time.
Authors: Ri, Kyong Il1 (AUTHOR) rgi87111@star-co.net.kp, Pak, Ji Min1 (AUTHOR), Kim, Yong Ho1 (AUTHOR)
Source: Asian Journal of Control. Jul2025, Vol. 27 Issue 4, p1616-1626. 11p.
Subjects: Uncertain systems, Systems integrators, Computer simulation
Abstract: We study the practical stability of the integrator switched systems with the constant period time under the cyclic switching laws, of which the switching sequence is cyclic and each cycle's period time is constant. Our aim is to establish significant switching laws which allow us to obtain the individual switching duration sequence for each cycle such that the integrator switched system is practically stable. We develop a new decomposition expression of the switching duration sequences, and show that a switching duration sequence can be divided into two parts: one part contributes to the change of state during the cycle and another one is about the nonnegativity of the duration sequence. Based on the decomposition expression, a sufficient condition for the existence of the switching duration sequences are induced. We propose a switching law which ensures the practical stability of the nominal integrator switched systems with the constant period time. Also, we propose another switching law which ensures the practical stability of the uncertain integrator switched systems and provide an upper bound of the uncertainties. The applicability of two proposed switching laws is illustrated by numerical simulations. [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: Cyclic switching laws for practical stability of integrator switched systems with constant period time.
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  Data: <searchLink fieldCode="AR" term="%22Ri%2C+Kyong+Il%22">Ri, Kyong Il</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rgi87111@star-co.net.kp</i><br /><searchLink fieldCode="AR" term="%22Pak%2C+Ji+Min%22">Pak, Ji Min</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kim%2C+Yong+Ho%22">Kim, Yong Ho</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. Jul2025, Vol. 27 Issue 4, p1616-1626. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Uncertain+systems%22">Uncertain systems</searchLink><br /><searchLink fieldCode="DE" term="%22Systems+integrators%22">Systems integrators</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: We study the practical stability of the integrator switched systems with the constant period time under the cyclic switching laws, of which the switching sequence is cyclic and each cycle's period time is constant. Our aim is to establish significant switching laws which allow us to obtain the individual switching duration sequence for each cycle such that the integrator switched system is practically stable. We develop a new decomposition expression of the switching duration sequences, and show that a switching duration sequence can be divided into two parts: one part contributes to the change of state during the cycle and another one is about the nonnegativity of the duration sequence. Based on the decomposition expression, a sufficient condition for the existence of the switching duration sequences are induced. We propose a switching law which ensures the practical stability of the nominal integrator switched systems with the constant period time. Also, we propose another switching law which ensures the practical stability of the uncertain integrator switched systems and provide an upper bound of the uncertainties. The applicability of two proposed switching laws is illustrated by numerical simulations. [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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        Value: 10.1002/asjc.3560
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      – Code: eng
        Text: English
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        PageCount: 11
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      – SubjectFull: Uncertain systems
        Type: general
      – SubjectFull: Systems integrators
        Type: general
      – SubjectFull: Computer simulation
        Type: general
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      – TitleFull: Cyclic switching laws for practical stability of integrator switched systems with constant period time.
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            NameFull: Ri, Kyong Il
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            NameFull: Pak, Ji Min
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            NameFull: Kim, Yong Ho
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            – D: 01
              M: 07
              Text: Jul2025
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              Y: 2025
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              Value: 27
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