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An Optimal Control Problem in Mathematical and Computer Models of the Information Warfare

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Differential and Difference Equations with Applications (ICDDEA 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 164))

Abstract

This article deals with the application of mathematical and computer methods in sociology, specifically information warfare. Pursuing such research can sometimes be met with new and interesting problems, worthy of serious attention of mathematicians. Given ChilKer tasks, it is possible to represent that case. ChilKer task refers to the boundary value problem for a system of ordinary differential equations and optimal control problem for which the right-side boundary conditions are given at different points of time for different coordinates of the unknown vector function. For ChilKer type the boundary value problem of system of ordinary differential equations proposed a method for finding solutions.

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References

  1. Alekseev, V.M., Tikhomirov, V.M., Fomin, S.V.: Optimum Control, p. 408. Nauka Publishing House, fizmatlit, M, Moscow (2007) [in Russian]

    Google Scholar 

  2. Chilachava, T., Kereselidze, N.: Continuous linear mathematical model of preventive information warfare.In: Sokhumi State University Proceedings, Mathematics and Computer Sciences, vol. 7, pp. 113–141, 2009

    Google Scholar 

  3. Chilachava, T., Kereselidze, N.: Mathematical modeling of the information warfare. (in Georgian). Georgian Electron Sci. J. Comput. Sci. Telecommun. 1 (24), 78–105 (2010)

    Google Scholar 

  4. Chilachava, T., Kereselidze, N.: Optimizing problem of the mathematical model of preventive information warfare. In: Informational and Communication Technologies’ Theory and Practice: Proceedings of the International Scientific Conference ICTMC - 2010 USA, Imprint: Nova, pp. 525–529, 2010

    Google Scholar 

  5. Kereselidze, N.: About relations of levels of information technology sides in one of the mathematical model information warfare. In: IV International Conference of Georgian Mathematical Union. Book of Abstracts. Tbilisi- Batumi, pp. 168–169, 9–15 September 2013

    Google Scholar 

  6. Kereselidze, N.: About the relations level of information technology in the sides of the generalized mathematical model of information warfare ignoring enemy. (In Russia). In: Proceedings of the Twenty-First International Conference of Problems of Safety Management of Complex Systems, Russian Academy of Sciences, Institute of Control. V.A. Trapeznikov, Institute of Applied Mathematics. M.V. Keldish, Moscow, pp. 173–175, December 18, 2013

    Google Scholar 

  7. Kereselidze, N.: On the existence of solutions to the mathematical model of information warfare. (In Russia). In: Proceedings of the Twenty-Second International Conference of Problems of Safety Management of Complex Systems, Russian Academy of Sciences, Institute of Control. V.A. Trapeznikov, Institute of Applied Mathematics. M.V. Keldish, Moscow, pp. 46–49, December, 2014

    Google Scholar 

  8. Mishra, B.k., Prajapati, A.: Modeling and Simulation: Cyber War. Procedia Technology, vol. 10, pp. 987–997. Elsevier, Amsterdam (2013)

    Google Scholar 

  9. Pugacheva, E.G., Solovenko, K.N.: Self-Organization of Socio-Economic Systems, pp. 172. Publisher BSUEL, Irkutsk (2003) [In Russia]

    Google Scholar 

  10. Samarski, A.A., Mikhailov, A.P.: Mathematical modeling: The Ideas. Methods. Examples. 2nd ed. corr. - M, FIZTATLIT. 2005 [In Russia]

    Google Scholar 

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Correspondence to Nugzar Kereselidze .

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Kereselidze, N. (2016). An Optimal Control Problem in Mathematical and Computer Models of the Information Warfare. In: Pinelas, S., Došlá, Z., Došlý, O., Kloeden, P. (eds) Differential and Difference Equations with Applications. ICDDEA 2015. Springer Proceedings in Mathematics & Statistics, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-319-32857-7_28

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