2019
DOI: 10.23939/mmc2019.02.344
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Improvement of variational-gradient method in dynamical systems of automated control for integro-differential models

Abstract: The dynamical systems given by integro-differentiation models with K-symmetric K-positive-definite operator are considered. The variational-gradient method was applied to those models. The analysis showed that the implementation of this method does not require knowledge of the operator spectrum, in addition, it has a better convergence rate and is more resistant to disturbances than gradient methods. The theorem is proved in this paper, which allows us to draw conclusions about the effectiveness of the applica… Show more

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Cited by 23 publications
(18 citation statements)
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References 15 publications
(26 reference statements)
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“…This judgment is confirmed by the results of using the method of evaluating the effectiveness of the system. According to the existing variant, they showed the ability to sustainably perform the tasks of the subsystem with the level of reliability Р i (t n )≥0,75 [12,14,23,[25][26][27][28], namely: regulatory, legal, organizational, financial and economic support.…”
Section: Resultsmentioning
confidence: 99%
“…This judgment is confirmed by the results of using the method of evaluating the effectiveness of the system. According to the existing variant, they showed the ability to sustainably perform the tasks of the subsystem with the level of reliability Р i (t n )≥0,75 [12,14,23,[25][26][27][28], namely: regulatory, legal, organizational, financial and economic support.…”
Section: Resultsmentioning
confidence: 99%
“…Leakage of information depends on the security of the system and the measures taken to neutralize threats to the security of personal data [18][19][20][21].…”
Section: The Main Sectionmentioning
confidence: 99%
“…Article [15] tackles the application of a variation gradient method to dynamic systems. Using a variation gradient method could increase the efficiency of information processing in the processes of management and research of dynamic systems.…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%