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Iranian Journal of Numerical Analysis and Optimization، جلد ۱۵، شماره Issue ۲، صفحات ۵۷۰-۵۹۹
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
Bilinear optimal control of a reaction-diffusion equation: overcoming boundedness constraints on controls |
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| چکیده انگلیسی مقاله |
We study an optimal control problem for bilinear reaction-diffusion equa-tions. The novelty of our approach lies in considering controls from the space of essentially bounded functions without imposing a priori bounds on the admissible set. We introduce an auxiliary problem with controls in Lp spaces $(p > 1 + N /2, where N $ is the spatial dimension) and demon-strate that both formulations are equivalent in terms of optimal solutions. Under suitable assumptions on the system parameters, we establish the ex-istence of optimal controls and derive first-order optimality conditions. Our theoretical findings are supported by numerical simulations that validate the practical effectiveness of the proposed approach. This work provides a new framework for handling bilinear control problems without artificial constraints, offering potential applications in population dynamics and eco-logical management. |
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| کلیدواژه‌های انگلیسی مقاله |
Bilinear optimal control,Reaction-diffusion equations,Essen-tially bounded controls,Optimality conditions |
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| نویسندگان مقاله |
R. El Mezegueldy |
Laboratory MMPA, Department of Mathematics and Informatics, ENS,
University of Sidi Mohamed Ben Abdellah, Fez, Morocco.
Y. Ouakrim |
Laboratory MMPA, Department of Mathematics and Informatics, ENS, University of Sidi Mohamed Ben Abdellah, Fez, Morocco.
M. Ouzahra |
Laboratory MMPA, Department of Mathematics and Informatics, ENS, University of Sidi Mohamed Ben Abdellah, Fez, Morocco.
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| نشانی اینترنتی |
https://ijnao.um.ac.ir/article_46269_236e8fa153f948523963b33e0772660c.pdf |
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| زبان مقاله منتشر شده |
en |
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