- Tytuł:
- Dynamic system with random structure for modeling security and risk management in cyberspace
- Autorzy:
-
Dzhalladova, Irada
Ruzickova, Miroslava - Powiązania:
- https://bibliotekanauki.pl/articles/952816.pdf
- Data publikacji:
- 2019
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
semi-Markov chain
random transformation of solutions the Lyapunov function
instability
systems of difference equations
jumps of solutions
cybersecurity - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2019, 39, 1; 23-37
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł