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Semideterministic global optimization method: Application to a control problem of the Burgers equation. (English) Zbl 1146.90053
Summary: This paper has two objectives. We introduce a new global optimization algorithm reformulating optimization problems in terms of boundary-value problems. Then, we apply this algorithm to a pointwise control problem of the viscous Burgers equation, where the control weight coefficient is progressively decreased. The results are compared with those obtained with a genetic algorithm and an LM-BFGS algorithm in order to check the efficiency of our method and the necessity of using global optimization techniques.

90C26 Nonconvex programming, global optimization
49J15 Existence theories for optimal control problems involving ordinary differential equations
Full Text: DOI
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