Optimal control of a bioreactor |
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Authors: | Lino J Alvarez-Vázquez Francisco J Fernández |
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Institution: | a Departamento de Matemática Aplicada II, ETSI Telecomunicación, Universidad de Vigo, 36310 Vigo, Spain b Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15706 Santiago, Spain |
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Abstract: | This paper is concerned with the analysis of a control problem related to the optimal management of a bioreactor. This real-world problem is formulated as a state-control constrained optimal control problem. We analyze the state system (a complex system of partial differential equations modelling the eutrophication processes for non-smooth velocities), and we prove that the control problem admits, at least, a solution. Finally, we present a detailed derivation of a first order optimality condition - involving a suitable adjoint system - in order to characterize these optimal solutions, and some computational results. |
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Keywords: | Bioreactor Eutrophication Existence Optimal control Optimality conditions |
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