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. |
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| 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] |
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| Database: | Engineering Source |
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| 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] |
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| ISSN: | 01432087 |
| DOI: | 10.1002/oca.3138 |
