Dissipativity-based sampled-data control of fuzzy Markovian jump systems with incomplete transition rates.

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Title: Dissipativity-based sampled-data control of fuzzy Markovian jump systems with incomplete transition rates.
Authors: Xu, Tianshu1 (AUTHOR) 1577269052@qq.com, Xia, Jianwei1 (AUTHOR) njustxjw@126.com, Shen, Hao2 (AUTHOR) haoshen10@gmail.com, Wang, Zhen3 (AUTHOR) wangzhen-sd@126.com, Zhuang, Guangming1 (AUTHOR) zgmtsg@126.com
Source: Journal of the Franklin Institute. Aug2020, Vol. 357 Issue 12, p7638-7657. 20p.
Subjects: Integral inequalities, Matrix inequalities, Rates
Abstract: This article addresses the topic of dissipativity-based sampled-data control for fuzzy markovian jump systems with incomplete transition rates. First, by making full use of the information in the sampling interval, an appropriate closed-loop function dependent sampling interval is constructed. Then, with the addition of free-weighting matrices approach and improved integral inequality technique, sufficient conditions are obtained to ensure that the considered systems are stochastically stable and strictly(Q , S , R)- γ -dissipative stochastically, respectively. Furthermore, the corresponding mode-dependent sampled-data controller is also designed. Finally, a simulation example is offered to verify the feasibility of the results. [ABSTRACT FROM AUTHOR]
Copyright of Journal of the Franklin Institute is the property of Pergamon Press - An Imprint of Elsevier Science 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: This article addresses the topic of dissipativity-based sampled-data control for fuzzy markovian jump systems with incomplete transition rates. First, by making full use of the information in the sampling interval, an appropriate closed-loop function dependent sampling interval is constructed. Then, with the addition of free-weighting matrices approach and improved integral inequality technique, sufficient conditions are obtained to ensure that the considered systems are stochastically stable and strictly(Q , S , R)- γ -dissipative stochastically, respectively. Furthermore, the corresponding mode-dependent sampled-data controller is also designed. Finally, a simulation example is offered to verify the feasibility of the results. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Journal of the Franklin Institute is the property of Pergamon Press - An Imprint of Elsevier Science 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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      – Type: doi
        Value: 10.1016/j.jfranklin.2020.05.025
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      – Code: eng
        Text: English
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        PageCount: 20
        StartPage: 7638
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      – SubjectFull: Integral inequalities
        Type: general
      – SubjectFull: Matrix inequalities
        Type: general
      – SubjectFull: Rates
        Type: general
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      – TitleFull: Dissipativity-based sampled-data control of fuzzy Markovian jump systems with incomplete transition rates.
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            NameFull: Xu, Tianshu
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            NameFull: Shen, Hao
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            NameFull: Wang, Zhen
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              M: 08
              Text: Aug2020
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              Y: 2020
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