On the development of a stock index of BRICS member countries’ companies

Жариков, М.

doi:10.31857/s020736760007838-0

Cited by 1 publication

(2 citation statements)

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“…In this case, there are no restrictions on the control, that is, (10) that it can be determined according to other conditions that can be formulated, for example, in the form of an additional game criterion [4,5,22].…”

Section: Now Given That Criterionmentioning

confidence: 99%

“…With the possibility of formalizing control problems under conditions of uncertainty in the form of games, it seems natural to be interested in using the mathematical apparatus of game theory in the study of control theory problems [1][2][3][4][5]. Such problems arise in the management of information and technical systems complicated by the action of interference and unpredictable external and/or internal influences that introduce uncertainty into the operation of the system.…”

Section: Introductionmentioning

confidence: 99%

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Stable control algorithms for non-stationary objects based on game methods

Igamberdiev

Sotvoldiyev²,

Mamirov

2022

J. Phys.: Conf. Ser.

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The paper considers the issues of constructing stable control algorithms for non-stationary objects based on the concepts of game methods. According to the principle of dynamic programming, control is defined when there are or are no restrictions on control actions. A.N.Tikhonov’s regularization method is used for stable estimation of the perturbation vector using the principle of the least residual estimate, as well as the method for compiling and solving an extended regularized normal system of equations. The obtained expressions make it possible to form control algorithms for linear non-stationary objects, which are stable when the control actions are limited, taking into account the feedback channel signal. At the same time, the use of game theory methods makes it possible to optimize management decisions under the conditions of inefficiency of classical management methods under conditions of a high level of a priori uncertainty of processes in the system under consideration.

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Section: Now Given That Criterionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%