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Optimal control results for second‐order semilinear integro‐differential systems via resolvent operators.

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Title: Optimal control results for second‐order semilinear integro‐differential systems via resolvent operators.
Authors: Singh, Anugrah Pratap1 (AUTHOR), Singh, Udaya Pratap1 (AUTHOR), Shukla, Anurag2 (AUTHOR) anuragshukla259@gmail.com
Source: Optimal Control - Applications & Methods. Sep2024, Vol. 45 Issue 5, p2100-2112. 13p.
Subjects: Lagrange problem, Resolvents (Mathematics), Hilbert space
Abstract: In the framework of a second‐order semilinear integro‐differential control system in Hilbert spaces, the paper provides sufficient conditions for proving the existence of optimal control. The Banach fixed point theorem is used to investigate the existence and uniqueness of mild solutions for the proposed problem. Additionally, it is shown that, under specific assumptions, there exists at least one optimal control pair for the Lagrange's problem as presented in the article. An example for validation is included in the paper to further support the theoretical findings. [ABSTRACT FROM AUTHOR]
Copyright of Optimal Control - Applications & Methods 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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PubTypeId: academicJournal
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  Label: Title
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  Data: Optimal control results for second‐order semilinear integro‐differential systems via resolvent operators.
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  Data: <searchLink fieldCode="AR" term="%22Singh%2C+Anugrah+Pratap%22">Singh, Anugrah Pratap</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Singh%2C+Udaya+Pratap%22">Singh, Udaya Pratap</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Shukla%2C+Anurag%22">Shukla, Anurag</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> anuragshukla259@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Optimal+Control+-+Applications+%26+Methods%22">Optimal Control - Applications & Methods</searchLink>. Sep2024, Vol. 45 Issue 5, p2100-2112. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Lagrange+problem%22">Lagrange problem</searchLink><br /><searchLink fieldCode="DE" term="%22Resolvents+%28Mathematics%29%22">Resolvents (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Hilbert+space%22">Hilbert space</searchLink>
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  Label: Abstract
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  Data: In the framework of a second‐order semilinear integro‐differential control system in Hilbert spaces, the paper provides sufficient conditions for proving the existence of optimal control. The Banach fixed point theorem is used to investigate the existence and uniqueness of mild solutions for the proposed problem. Additionally, it is shown that, under specific assumptions, there exists at least one optimal control pair for the Lagrange's problem as presented in the article. An example for validation is included in the paper to further support the theoretical findings. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Optimal Control - Applications & Methods 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/oca.3138
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      – Code: eng
        Text: English
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        PageCount: 13
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    Subjects:
      – SubjectFull: Lagrange problem
        Type: general
      – SubjectFull: Resolvents (Mathematics)
        Type: general
      – SubjectFull: Hilbert space
        Type: general
    Titles:
      – TitleFull: Optimal control results for second‐order semilinear integro‐differential systems via resolvent operators.
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            NameFull: Singh, Anugrah Pratap
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            NameFull: Singh, Udaya Pratap
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            NameFull: Shukla, Anurag
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            – D: 01
              M: 09
              Text: Sep2024
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              Y: 2024
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              Value: 45
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            – TitleFull: Optimal Control - Applications & Methods
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