On Certain Problems in Optimal Control Theory
Traditionally, in mathematical optimal control theory a significant part in the studies is related to investigation methods of ready mathematical problem settings with various complexity.
V.I. Gurman
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A Matching-Strategy-Inspired Preconditioning for Elliptic Optimal Control Problems
In this paper, a new preconditioning method is proposed for the linear system arising from the elliptic optimal control problem. It is based on row permutations of the linear system and approximations of the corresponding Schur complement inspired by the
Chaojie Wang, Jie Chen, Shuen Sun
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Optimal control and optimal sensor activation for Markov decision problems with costly observations [PDF]
This paper considers partial observation Markov decision processes. Besides the classical control decisions influencing the transition probabilities of the Markov process, we also consider control actions that can activate the sensors to provide more or ...
Boel, René, van Schuppen, Jan H.
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Numerical Solution for A Special Class of optimal Control Problem by using Hermite polynomial [PDF]
In this paper, a numerical solution for solving a special class of optimal control problems is considered. The main idea of the solution is to parameterize the state space by approximating the state function using a linear combination of Hermite ...
S.S. Hasen
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Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems [PDF]
We are interested in high-order linear multistep schemes for time discretization of adjoint equations arising within optimal control problems. First we consider optimal control problems for ordinary differential equations and show loss of accuracy for ...
Albi, Giacomo +2 more
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Optimal Transportation Problem by Stochastic Optimal Control [PDF]
We address an optimal mass transportation problem by means of optimal stochastic control. We consider a stochastic control problem which is a natural extension of the Monge-Kantorovich problem. Using a vanishing viscosity argument we provide a probabilistic proof of two fundamental results in mass transportation: the Kantorovich duality and the graph ...
Mikami, Toshio, Thieullen, Michele
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The Structure of the Optimal Control in the Problems of Strength Optimization of Steel Girders
The paper concerns a strength optimization of continuous beams with variable cross-section. The continuous beams are subjected to a dead weight and a useful load, the six (seven) combinations of loads were analyzed.
Mikulski Leszek
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Optimal Control Sphere Packing Problem
The sphere packing problem which is to pack non-overlapping spheres with the maximum volume into a convex set. The problem belongs to a class of global optimization. Convex maximization formulation of the problem is given in [1, 12]. In this paper, we formulate a new optimal control problem based on the sphere packing problem which is a nonconvex ...
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Consistent Approximations to Impulsive Optimal Control Problems
We analyse the theory of consistent approximations given by Polak and we use it in an impulsive optimal control problem. We reparametrize the original system and build consistent approximations for this new reparametrized problem.
Porto, Daniella +2 more
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Differential Stability of Convex Discrete Optimal Control Problems
Differential stability of convex discrete optimal control problems in Banach spaces is studied in this paper. By using some recent results of An and Yen [Appl. Anal.
An, Duong Thi Viet, Toan, Nguyen Thi
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