Simplified multitime maximum principle.
Udrişte, Constantin (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Udrişte, Constantin (2009)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Udrişte, Constantin (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Ferreyra, Guillermo, Pascal, Jesus A. (2002)
Divulgaciones Matemáticas
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Popoviciu, Ioan (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Andrei Dmitruk (2009)
Control and Cybernetics
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Jose Luis Boldrini, Enrique Fernández-Cara, Marko Antonio Rojas-Medar (2007)
Revista Matemática Complutense
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Hrynkiv, Volodymyr (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Alaeddin Malek, Roghayeh Ebrahim Nataj, Mohamad Javad Yazdanpanah (2012)
Kybernetika
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In this paper, we propose a novel algorithm for solving an optimal boundary control problem of the Burgers' equation. The solving method is based on the transformation of the original problem into a homogeneous boundary conditions problem. This transforms the original problem into an optimal distributed control problem. The modal expansion technique is applied to the distributed control problem of the Burgers' equation to generate a low-dimensional dynamical system. The control parametrization...
Rincon, A., Liu, I-Shih (2003)
Divulgaciones Matemáticas
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Kil Chong, Olga Kostyukova, Mariya Kurdina (2010)
Control and Cybernetics
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A. Khludnev (1992)
Banach Center Publications
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An optimal control problem is considered where the state of the system is described by a variational inequality for the operator w → εΔ²w - φ(‖∇w‖²)Δw. A set of nonnegative functions φ is used as a control region. The problem is shown to have a solution for every fixed ε > 0. Moreover, the solvability of the limit optimal control problem corresponding to ε = 0 is proved. A compactness property of the solutions of the optimal control problems for ε > 0 and their relation with the...