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Homogenization of an Optimal Control Problem

SIAM Journal on Control and Optimization, 1997
Summary: We consider an optimal control problem in which both the state equation and the cost functional have rapidly oscillating coefficients (characterized respectively by matrices \(A_\varepsilon\) and \(B_\varepsilon\), where \(\varepsilon\) is a small parameter). We make no periodicity assumption.
Kesavan, Srinivasan   +1 more
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Optimal Control of a Signorini Problem

SIAM Journal on Control and Optimization, 1987
In this very interesting paper the authors present a new method to obtain necessary conditions for optimal control problems of variational inequalities. It uses only techniques of classical convex analysis and is based on a transformation of the original problem into another one involving a linear state equation and nonconvex constraints on the state.
Bermudez, A., Saguez, C.
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NABSDEs and optimal control problem

2016 3rd International Conference on Systems and Informatics (ICSAI), 2016
One innovation of our paper lies in the introduction of neutral anticipated backward stochastic differential equations (NABSDEs). By the theorem of fixed point, we show that those equations have unique solutions. This type of equations can be regarded as an expansion of classical backward stochastic differential equations (BSDEs). On the other hand, we
Shuang Wu, Lan Shu
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Conversion of optimal control problems into parameter optimization problems

Guidance, Navigation, and Control Conference, 1996
Summary: Several methods exist for converting optimal control problems into parameter optimization problems, and they are categorized by the unknowns of the parameter optimization problem, the numerical integration technique, and the order of the integration technique.
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Optimal Control of Obstacle Problem

Proceedings of the 2019 4th International Conference on Mathematics and Artificial Intelligence, 2019
In this paper, we consider an optimal control problem for an elliptic obstacle problem. Using a family of semi-linear elliptic partial differential equations to approximate the obstacle problem, we obtain an approximate optimal problem for partial differential equations. Then, we propose a new method to prove the objective functional in the approximate
Xuan Zheng, Qin Gao
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Team Optimal Control Problems

2019
We consider discrete-time stochastic optimal control problems over a finite number of decision stages in which several controllers share different information and aim at minimizing a common cost functional. This organization can be described within the framework of “team theory.” Unlike the classical optimal control problems, linear-quadratic-Gaussian ...
Riccardo Zoppoli   +3 more
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Embedded optimal control problems

IEEE Conference on Decision and Control and European Control Conference, 2011
In this paper we define a class of optimal control problems which we denote “embedded optimal control problems”. These are not true optimal control problems since the control system is not locally controllable on the manifold on which it is defined.
Nikolaj Nordkvist   +3 more
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Degenerate problems of optimal control. II

Automation and Remote Control, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gurman, V. I., Kang, Ni Ming
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On pseudoparabolic optimal control problems

Kybernetika, 1993
This paper discusses the following optimal control problem \[ J(u)= \min_{u\in U_{ad}} J(u)= \min_{u\in U_{ad}} \{\| Dy(T,u)- z_ d\|^ 2_ X+ j(u)\}, \] subject to the pseudoparabolic equations \[ A_ 1(t,u) y_ t(t,u)+ A_ 0(t,u) y(t,u)= f(t),\;A_ 1(0,u) y_ t(0,u)= f_ 0, \] where \(A_ 1(\cdot,\cdot)\), \(A_ 0(\cdot,\cdot)\), \(f(\cdot)\), \(j(\cdot ...
Igor Bock, Ján Lovísek
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Discretization of Optimal Control Problems

2011
Solutions to optimization problems with pde constraints inherit special properties; the associated state solves the pde which in the optimization problem takes the role of a equality constraint, and this state together with the associated control solves an optimization problem, i.e., together with multipliers satisfies first- and second-order necessary
Hinze, Michael, Rösch, Arnd
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