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Optimal control for one complex dynamic system, II
Authors: Alla Albu, Vladimir Zubov
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Abstract
The optimal control problem of the metal solidification in casting is considered. The process is modeled by a three-dimensional two-phase initial-boundary value problem of the Stefan type. A numerical algorithm for solving the direct problem was presented in the first part of This article, published in [1]. The optimal control problem was solved numerically using the gradient method. The gradient of the cost function was found with the help of conjugate problem. The discreet conjugate problem was posed with the help of Fast Automatic Differentiation technique.E-mail:
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Contents
- Optimal control for one complex dynamic system, II
- About group topologies of the primary Abelian group.
- A complete classification of quadratic differential systems according to the dimensions of Aff(2, R)-orbits
- On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle.
- On preradicals associated to principal functors of module categories, I.
- Dynamic Programming Algorithms for Solving Stochastic Discrete Control Problems.
- On a Generalization of Hardy-Hilbert's Integral Inequality.
- The cubic differential system with six real invariant straight lines along three directions.
- A note on a subclass of analytic functions defined by a differential operator.
