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An optimal control problem without control costs
Mathematical Biosciences and Engineering, 2023 A two-dimensional diffusion process is controlled until it enters a given subset of $ \mathbb{R}^2 $. The aim is to find the control that minimizes the expected value of a cost function in which there are no control costs.
Mario Lefebvre
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About one problem of optimal control synthesis [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 This paper tackles the problem of characterizing the natural class, or Riccati rule space, of solutions to a specific e quation. Despite the significant theoretical and practical implications, there is limited research exploring the application of ...
Muhametberdy Rakhimov
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Optimal programmed control in energy minimisation problem [PDF]
E3S Web of Conferences, 2023 This paper is devoted to the construction of optimal programmed control of the motion of a material point in a medium with a random coefficient of resistance in a homogeneous field of gravity of the Earth.
Khrychev Dmitry
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Optimal Promotional Effort Policy for Innovation Diffusion Model in a Fuzzy Environment [PDF]
Journal of Information Technology Management, 2021 In today’s era when a substitute for almost every product is readily available, acceptance and adoption of a new product in a market requires substantial amount of promotion.
Kuldeep Chaudhary +2 more
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Axioms, 2023 We consider a finite horizon multi-model linear-quadratic optimal control problem. For this problem, we treat the case where the problem’s functional does not contain a control function. The latter means that the problem under consideration is a singular
Valery Y. Glizer
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Adaptive Synthesized Control for Solving the Optimal Control Problem
Mathematics, 2023 The development of artificial intelligence systems assumes that a machine can independently generate an algorithm of actions or a control system to solve the tasks.
Askhat Diveev, Elizaveta Shmalko
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The moon lander optimal control problem revisited
Mathematics in Engineering, 2021 We revisit the control problem for a spacecraft to land on the moon surface at rest with minimal fuel consumption. We show that a detailed analysis in the related 3D phase space uncovers the existence of infinitely many safe landing curves, contrary to ...
Filippo Gazzola, Elsa M. Marchini
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DynaProg: Deterministic Dynamic Programming solver for finite horizon multi-stage decision problems
SoftwareX, 2021 DynaProg is an open-source MATLAB toolbox for solving multi-stage deterministic optimal decision problems using Dynamic Programming. This class of optimal control problems can be solved with Dynamic Programming (DP), which is a well-established optimal ...
Federico Miretti +2 more
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A sharp error analysis for the DG method of optimal control problems
AIMS Mathematics, 2022 In this paper, we are concerned with a nonlinear optimal control problem of ordinary differential equations. We consider a discretization of the problem with the discontinuous Galerkin method with arbitrary order $ r \in \mathbb{N}\cup \{0\} $.
Woocheol Choi , Young-Pil Choi
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Optimal Control Problem for Some Degenerate Variation Inequality: Attainability Problem
Journal of Optimization, Differential Equations and Their Applications, 2018 We study an optimal control problem for degenerate elliptic variation inequality with degenerate weight function of potential type in the so-called class of H-admissible solutions.
Nina V. Kasimova
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