Optimal control of conformable fractional neutral stochastic integrodifferential systems with infinite delay
The main concern of the manuscript deals with the optimal control problem of conformable fractional neutral stochastic integrodifferential systems with infinite delay. This study is motivated by SAR and RAR systems advantage of providing control over many factors such as power, frequency, phase, pol...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Results in Control and Optimization |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720723000954 |
| _version_ | 1797615907675045888 |
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| author | Dimplekumar Chalishajar K. Ramkumar K. Ravikumar A. Anguraj S. Jain |
| author_facet | Dimplekumar Chalishajar K. Ramkumar K. Ravikumar A. Anguraj S. Jain |
| author_sort | Dimplekumar Chalishajar |
| collection | DOAJ |
| description | The main concern of the manuscript deals with the optimal control problem of conformable fractional neutral stochastic integrodifferential systems with infinite delay. This study is motivated by SAR and RAR systems advantage of providing control over many factors such as power, frequency, phase, polarization, incidence angle, spatial resolution and swath width, all of which are important when designing and operating a radar system. Initially, we investigate the existence of mild solutions for the conformable fractional stochastic integrodifferential equations with infinite delay using stochastic analysis techniques and Banach fixed point theorem. In the later part we establish the existence of mild solutions of the conformable fractional neutral stochastic integrodifferential system with infinite time delay. Furthermore, the existence of optimal control of the corresponding Lagrange optimal control problem is investigated. An example is provided to illustrate the applications of the obtained results. We explain the limitation we have with the existence software, and developed a numerical scheme to justify the theory. |
| first_indexed | 2024-03-11T07:32:39Z |
| format | Article |
| id | doaj.art-2a0ac74c284d4ee1afe38f8d80543253 |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-03-11T07:32:39Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-2a0ac74c284d4ee1afe38f8d805432532023-11-17T05:28:21ZengElsevierResults in Control and Optimization2666-72072023-12-0113100293Optimal control of conformable fractional neutral stochastic integrodifferential systems with infinite delayDimplekumar Chalishajar0K. Ramkumar1K. Ravikumar2A. Anguraj3S. Jain4Department of Applied Mathematics, Mallory Hall, Virginia Military Institute, Lexington, VA 24450, USA; Corresponding author.Department of Mathematics, PSG College of Arts & Science, Coimbatore, 641 014, IndiaDepartment of Mathematics, PSG College of Arts & Science, Coimbatore, 641 014, IndiaDepartment of Mathematics, PSG College of Arts & Science, Coimbatore, 641 014, IndiaDepartment of Mathematical Sciences, UAE University, 15551 Al-Ain, United Arab EmiratesThe main concern of the manuscript deals with the optimal control problem of conformable fractional neutral stochastic integrodifferential systems with infinite delay. This study is motivated by SAR and RAR systems advantage of providing control over many factors such as power, frequency, phase, polarization, incidence angle, spatial resolution and swath width, all of which are important when designing and operating a radar system. Initially, we investigate the existence of mild solutions for the conformable fractional stochastic integrodifferential equations with infinite delay using stochastic analysis techniques and Banach fixed point theorem. In the later part we establish the existence of mild solutions of the conformable fractional neutral stochastic integrodifferential system with infinite time delay. Furthermore, the existence of optimal control of the corresponding Lagrange optimal control problem is investigated. An example is provided to illustrate the applications of the obtained results. We explain the limitation we have with the existence software, and developed a numerical scheme to justify the theory.http://www.sciencedirect.com/science/article/pii/S2666720723000954ExistenceOptimal controlConformable derivativeStochastic integrodifferential systems |
| spellingShingle | Dimplekumar Chalishajar K. Ramkumar K. Ravikumar A. Anguraj S. Jain Optimal control of conformable fractional neutral stochastic integrodifferential systems with infinite delay Results in Control and Optimization Existence Optimal control Conformable derivative Stochastic integrodifferential systems |
| title | Optimal control of conformable fractional neutral stochastic integrodifferential systems with infinite delay |
| title_full | Optimal control of conformable fractional neutral stochastic integrodifferential systems with infinite delay |
| title_fullStr | Optimal control of conformable fractional neutral stochastic integrodifferential systems with infinite delay |
| title_full_unstemmed | Optimal control of conformable fractional neutral stochastic integrodifferential systems with infinite delay |
| title_short | Optimal control of conformable fractional neutral stochastic integrodifferential systems with infinite delay |
| title_sort | optimal control of conformable fractional neutral stochastic integrodifferential systems with infinite delay |
| topic | Existence Optimal control Conformable derivative Stochastic integrodifferential systems |
| url | http://www.sciencedirect.com/science/article/pii/S2666720723000954 |
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