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On Solving the Optimal Control Problem

Automation and Remote Control, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan S. Polyanskii   +2 more
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Optimal Control Problems with Disorder

Automation and Remote Control, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. I. Belyavskii   +2 more
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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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Hybridization of optimal control problems

International Journal of Control, 2007
Optimization problems for hybrid systems have attracted a lot of attention in recent years. This interest stimulated numerous scientific works and the development of tools to study optimal trajectories, such as necessary conditions. The idea of the present contribution is to use such results for hybrid systems to construct a hybridization of an optimal
Annalisa L. Amadori   +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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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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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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