Some Mathematical Problems of Control of Quantum Systems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04416-5
Abstract: Currently, quantum technologies are actively developing; these technologies are based on quantum effects in individual quantum systems—atoms or molecules. The mathematical study of problems of control of quantum systems is of particular importance. In this… read more here.
Keywords: control quantum; problems control; mathematical problems; quantum systems ... See more keywords
LP Based Upper and Lower Bounds for Cesàro and Abel Limits of the Optimal Values in Problems of Control of Stochastic Discrete Time Systems
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2022.126121
Abstract: In this paper, we study asymptotic properties of problems of control of stochastic discrete time systems with time averaging and time discounting optimality criteria, and we establish that the Ces\'aro and Abel limits of the… read more here.
Keywords: time; control stochastic; time systems; problems control ... See more keywords
Homing Problems With Control in the Diffusion Coefficient
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DOI: 10.1109/tac.2022.3157077
Abstract: In this article, we consider a class of homing problems with controls only in the diffusion-coefficient of a diffusion process in a given closed interval. The controller seeks to minimize an expected cost that accounts… read more here.
Keywords: diffusion; homing problems; diffusion coefficient; problems control ... See more keywords