Dynamic system with random structure for modeling security and risk management in cyberspace

• Autorzy: Dzhalladova Irada , Ruzickova Miroslava

Identyfikatory

DOI

10.7494/OpMath.2019.39.1.23

• Języki publikacji: EN

Abstrakty

EN

We deal with the investigation of L2-stability of the trivial solution to the system of difference equations with coefficients depending on a semi-Markov chain. In our considerations, random transformations of solutions are assumed. Necessary and sufficient conditions for L2-stability of the trivial solution to such systems are obtained. A method is proposed for constructing Lyapunov functions and the conditions for its existence are justified. The dynamic system and methods discussed in the paper are very well suited for use as models for protecting information in cyberspace.

Słowa kluczowe

EN

semi-Markov chain; random transformation of solutions the Lyapunov function; instability; systems of difference equations; jumps of solutions; cybersecurity

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2019
• Tom: Vol. 39, no. 1
• Strony: 23--37
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Dzhalladova Irada

• Kyiv National Economic University named after Vadym Hetman Department of Computer Mathematics and Information Security Kiev 03068, Peremogy 54/1, Ukraine

autor

Ruzickova Miroslava

• University of Białystok Faculty of Mathematics and Informatics K. Ciołkowskiego IM, 15-245 Białystok, Poland

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