Stability under stochastic perturbation of solutions of mathematical models of information spreading process with external control

Simple item page
dc.citation.epage73
dc.citation.issue1
dc.citation.journalTitleMathematical Modeling and Computing
dc.citation.spage66
dc.citation.volume5
dc.contributor.affiliationКиївський національний університет імені Тараса Шевченка
dc.contributor.affiliationTaras Shevchenko National University of Kyiv
dc.contributor.authorНаконечний, О.
dc.contributor.authorШевчук, Ю.
dc.contributor.authorNakonechnyi, O.
dc.contributor.authorShevchuk, I.
dc.coverage.placenameLviv
dc.date.accessioned2019-05-07T14:01:54Z
dc.date.available2019-05-07T14:01:54Z
dc.date.created2018-01-15
dc.date.issued2018-01-15
dc.description.abstractНаведено загальну схему аналізу стохастичної стiйкості за першим наближенням в околi точок стiйкості моделі розповсюдження довільної кількості типів iнформацiї на прикладах узагальненої моделі з стацiонарними параметрами та моделi з нестаціонар- ними параметрами та спецiальним представленням зовнiшнього впливу. Результати числового експерименту демонструють практичнi можливостi цiєї схеми. Отриманi результати дали змогу визначати для параметрiв моделi допустимi областi, значен- ня з яких будуть гарантувати асимптотичну стiйкiсть у середньоквадратичному за першим наближенням в околi стацiонарних точок.
dc.description.abstractIn this paper mathematical model of spreading any number of information types with external influences is considered. The model takes the form of n (number of information channels) non-linear Ito stochastic differential equations. Conditions for asymptotic stability in quadratic average in first-approximation of the special points are considered for general stationary model and special case with non-stationary parameters. The results of example are presented for the special case of the base model with stationary parameters.
dc.format.extent66-73
dc.format.pages8
dc.identifier.citationNakonechnyi O. Stability under stochastic perturbation of solutions of mathematical models of information spreading process with external control / O. Nakonechnyi, I. Shevchuk // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2018. — Vol 5. — No 1. — P. 66–73.
dc.identifier.citationenNakonechnyi O. Stability under stochastic perturbation of solutions of mathematical models of information spreading process with external control / O. Nakonechnyi, I. Shevchuk // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2018. — Vol 5. — No 1. — P. 66–73.
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/44890
dc.language.isoen
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 1 (5), 2018
dc.relation.references[1] MikhailovA.P., MarevtsevaN.A. Models of Information Warfare. Mathematical Models and Computer Simulations. 3 (4), 251–259 (2012).
dc.relation.references[2] MikhailovA.P., PetrovA.P., PronchevaO.G., MarevtsevaN.A. Mathematical Modeling of Information Warfare in a Society. Mediterranean Journal of Social Sciences. 6 (5), 27–35 (2015).
dc.relation.references[3] NakonechnyiO.G., Zinko P.M. Confrontation problems with the dynamics Gompertzian systems. Journal of Computational and Applied Mathematics. 3 (120), 50–60 (2015), (in Ukrainian).
dc.relation.references[4] NakonechnyiO.G., Shevchuk I.M. Mathematical model of information spreading process with nonstationary parameters. Bulletin of Taras Shevchenko National University of Kiev. Series Physics and Mathematics. 3, 98–105 (2016), (in Ukrainian).
dc.relation.references[5] Shevchuk I.M. Stability of solutions of mathematical models of information spreading process with external control. Journal of Computational and Applied Mathematics. 1 (124), 99–111 (2017), (in Ukrainian).
dc.relation.references[6] NakonechnyiO.G. Best-mean estimates in models of information confrontation. Abstracts XXIV International Conference “Problem of decision making under uncertainties”. Cesky Rudolec, Czech Republic. September 1 5. P. 114–115 (2014).
dc.relation.references[7] NakonechnyiO.G., Zinko P.M. Estimates of unsteady parameters in model of information confrontation. Abstracts XXVIII International Conference “Problem of decision making under uncertainties”. Brno, Czech Republic. August 25–30. P. 82–83 (2016).
dc.relation.references[8] NakonechnyiO.G., Zinko P.M., Shevchuk I.M. Averaged optimal predictive estimation of mathematical models of information spreading process under uncertainty. Bulletin of Taras Shevchenko National University of Kiev. Series Physics and Mathematics. 2, 122–127 (2017).
dc.relation.references[9] NakonechnyiO.G., Zinko P.M., Shevchuk I.M. Predictive estimation of mathematical models of information spreading process under uncertainty. System Research and Information Technologies. 4, 54–65 (2017), (in Ukrainian).
dc.relation.references[10] NakonechnyiO.G., Zinko P.M., Shevchuk I.M. Analysis of non-stationary mathematical models of information spreading process under uncertainty. Abstracts of International Scientific Conference “Modern Problems of Mathematical Modeling, Computational Mathematical Methods and Information Technologies”. Rivne, Ukraine. P. 108–110 (2018), (in Ukrainian).
dc.relation.references[11] DemidovichB.P. Lectures on the mathematical theory of stability. Moscow, Nauka (1967), (in Russian).
dc.relation.referencesen[1] MikhailovA.P., MarevtsevaN.A. Models of Information Warfare. Mathematical Models and Computer Simulations. 3 (4), 251–259 (2012).
dc.relation.referencesen[2] MikhailovA.P., PetrovA.P., PronchevaO.G., MarevtsevaN.A. Mathematical Modeling of Information Warfare in a Society. Mediterranean Journal of Social Sciences. 6 (5), 27–35 (2015).
dc.relation.referencesen[3] NakonechnyiO.G., Zinko P.M. Confrontation problems with the dynamics Gompertzian systems. Journal of Computational and Applied Mathematics. 3 (120), 50–60 (2015), (in Ukrainian).
dc.relation.referencesen[4] NakonechnyiO.G., Shevchuk I.M. Mathematical model of information spreading process with nonstationary parameters. Bulletin of Taras Shevchenko National University of Kiev. Series Physics and Mathematics. 3, 98–105 (2016), (in Ukrainian).
dc.relation.referencesen[5] Shevchuk I.M. Stability of solutions of mathematical models of information spreading process with external control. Journal of Computational and Applied Mathematics. 1 (124), 99–111 (2017), (in Ukrainian).
dc.relation.referencesen[6] NakonechnyiO.G. Best-mean estimates in models of information confrontation. Abstracts XXIV International Conference "Problem of decision making under uncertainties". Cesky Rudolec, Czech Republic. September 1 5. P. 114–115 (2014).
dc.relation.referencesen[7] NakonechnyiO.G., Zinko P.M. Estimates of unsteady parameters in model of information confrontation. Abstracts XXVIII International Conference "Problem of decision making under uncertainties". Brno, Czech Republic. August 25–30. P. 82–83 (2016).
dc.relation.referencesen[8] NakonechnyiO.G., Zinko P.M., Shevchuk I.M. Averaged optimal predictive estimation of mathematical models of information spreading process under uncertainty. Bulletin of Taras Shevchenko National University of Kiev. Series Physics and Mathematics. 2, 122–127 (2017).
dc.relation.referencesen[9] NakonechnyiO.G., Zinko P.M., Shevchuk I.M. Predictive estimation of mathematical models of information spreading process under uncertainty. System Research and Information Technologies. 4, 54–65 (2017), (in Ukrainian).
dc.relation.referencesen[10] NakonechnyiO.G., Zinko P.M., Shevchuk I.M. Analysis of non-stationary mathematical models of information spreading process under uncertainty. Abstracts of International Scientific Conference "Modern Problems of Mathematical Modeling, Computational Mathematical Methods and Information Technologies". Rivne, Ukraine. P. 108–110 (2018), (in Ukrainian).
dc.relation.referencesen[11] DemidovichB.P. Lectures on the mathematical theory of stability. Moscow, Nauka (1967), (in Russian).
dc.rights.holder© 2018 Lviv Polytechnic National University CMM IAPMM NASU
dc.rights.holder© 2018 Lviv Polytechnic National University CMM IAPMM NASU
dc.subjectматематична модель поширення інформації
dc.subjectстохастична стійкість
dc.subjectасимптотична стійкість у середньоквадратичному
dc.subject“білий” шум
dc.subjectmathematical model of information spreading process
dc.subjectstochastic stability
dc.subjectasymptotic stability in quadratic average
dc.subject“white” noise
dc.subject.udc517.9
dc.titleStability under stochastic perturbation of solutions of mathematical models of information spreading process with external control
dc.title.alternativeСтійкість під час стохастичних збурень розв’язків у математичних моделях розповсюдження інформації зі зовнішніми впливами
dc.typeArticle

Files

Original bundle

Now showing 1 - 2 of 2
Thumbnail Image
Name:
2018v5n1_Nakonechnyi_O-Stability_under_stochastic_66-73.pdf
Size:
847.47 KB
Format:
Adobe Portable Document Format
Download
Thumbnail Image
Name:
2018v5n1_Nakonechnyi_O-Stability_under_stochastic_66-73__COVER.png
Size:
361.38 KB
Format:
Portable Network Graphics
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
3 KB
Format:
Plain Text
Description:
Download

Collections

Mathematical Modeling And Computing. – 2018. – Vol. 5, No. 1