Exact reachability of discrete‐time stochastic system with multiplicative noise and partial information.

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Title: Exact reachability of discrete‐time stochastic system with multiplicative noise and partial information.
Authors: Wang, Wenjing1 (AUTHOR) wangwenjingwls@163.com, Xu, Juanjuan1 (AUTHOR) juanjuanxu@sdu.edu.cn
Source: Asian Journal of Control. Sep2025, Vol. 27 Issue 5, p2406-2413. 8p.
Subjects: Stochastic systems, Stochastic difference equations, Discrete-time systems, Stochastic matrices, Random noise theory, Simulation methods & models
Abstract: This paper is concerned with the exact reachability of discrete‐time stochastic system with partial information. The main contribution is to obtain the necessary and sufficient Gramian matrix criterion for the exact reachability of stochastic systems with partial information. The key is to innovatively transform the stochastic system governed by forward stochastic difference equation into an equivalent system governed by backward stochastic difference equation. Simulation examples illustrate the effectiveness of the results. [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: Exact reachability of discrete‐time stochastic system with multiplicative noise and partial information.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Wenjing%22">Wang, Wenjing</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> wangwenjingwls@163.com</i><br /><searchLink fieldCode="AR" term="%22Xu%2C+Juanjuan%22">Xu, Juanjuan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> juanjuanxu@sdu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. Sep2025, Vol. 27 Issue 5, p2406-2413. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Stochastic+systems%22">Stochastic systems</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+difference+equations%22">Stochastic difference equations</searchLink><br /><searchLink fieldCode="DE" term="%22Discrete-time+systems%22">Discrete-time systems</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+matrices%22">Stochastic matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Random+noise+theory%22">Random noise theory</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+methods+%26+models%22">Simulation methods & models</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper is concerned with the exact reachability of discrete‐time stochastic system with partial information. The main contribution is to obtain the necessary and sufficient Gramian matrix criterion for the exact reachability of stochastic systems with partial information. The key is to innovatively transform the stochastic system governed by forward stochastic difference equation into an equivalent system governed by backward stochastic difference equation. Simulation examples illustrate the effectiveness of the results. [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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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1002/asjc.3575
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 8
        StartPage: 2406
    Subjects:
      – SubjectFull: Stochastic systems
        Type: general
      – SubjectFull: Stochastic difference equations
        Type: general
      – SubjectFull: Discrete-time systems
        Type: general
      – SubjectFull: Stochastic matrices
        Type: general
      – SubjectFull: Random noise theory
        Type: general
      – SubjectFull: Simulation methods & models
        Type: general
    Titles:
      – TitleFull: Exact reachability of discrete‐time stochastic system with multiplicative noise and partial information.
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            NameFull: Wang, Wenjing
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            NameFull: Xu, Juanjuan
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          Dates:
            – D: 01
              M: 09
              Text: Sep2025
              Type: published
              Y: 2025
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              Value: 27
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              Value: 5
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            – TitleFull: Asian Journal of Control
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