Parametric Sensitivity Analysis of Perturbed PDE Optimal Control Problems with State and Control Constraints

被引:0
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作者
C. Büskens
R. Griesse
机构
[1] Universität Bremen,Center for Technical Mathematics
[2] Austrian Academy of Sciences,Johann Radon Institute for Computational and Applied Mathematics (RICAM)
关键词
Perturbed optimal control problems; control-state constraints; nonlinear programming methods; partial differential equations; parametric sensitivity analysis;
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摘要
We study parametric optimal control problems governed by a system of time-dependent partial differential equations (PDE) and subject to additional control and state constraints. An approach is presented to compute the optimal control functions and the so-called sensitivity differentials of the optimal solution with respect to perturbations. This information plays an important role in the analysis of optimal solutions as well as in real-time optimal control.
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页码:17 / 35
页数:18
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