Evaluation of Efficiency of Application of Functionally Sustainable Generalized Information System of the Enterprise

Sobchuk, Valentyn; Барабаш, Олег; Musienko, Andrii; Лаптєв, Олександр; Kozlovskyi, Valerii; Shcheblanin, Yurii

doi:10.1109/hora55278.2022.9799892

Cited by 3 publications

(3 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Let us first estimate the first term of the right-hand side (23). For this purpose, we add and subtract the value under the sign of the module in the integrand function…”

Section: Resultsmentioning

confidence: 99%

“…We should note that linear summation methods of Fourier series have a number of advantages over traditional Fourier series summation methods: first, they can be more accurate than traditional methods; secondly, they can be more resistant to noise; and third, they can be more adaptive to different signals. This is extremely important when modeling processes for which the functional stability of complex technical systems must be guaranteed [21][22][23]. Methods of constructing the asymptotic solution of differential equations are important for hydrodynamic problems [24], for mathematical models of processes that describe phenomena where the action of internal and external destabilizing factors of an impulsive nature takes place [25,26], for heat conduction equations [27], etc.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Approximation of Functions of the Classes CβψHα by Linear Methods Summation of Their Fourier Series

Kharkevych,

Kal’chuk

2023

Axioms

View full text Add to dashboard Cite

In this paper, we considered arbitrary linear summation methods of Fourier series specified by a set of continuous functions dependent on the real parameter and established their approximation properties. We obtained asymptotic formulas for the exact upper bounds of the deviations of operators generated by λ-methods of Fourier series summation from the functions of the classes CβψHα under certain restrictions on the functions ψ.

show abstract

“…Let us first estimate the first term of the right-hand side (23). For this purpose, we add and subtract the value under the sign of the module in the integrand function…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Approximation of Functions of the Classes CβψHα by Linear Methods Summation of Their Fourier Series

Kharkevych,

Kal’chuk

2023

Axioms

View full text Add to dashboard Cite

show abstract

“…For the case when, in the intervals between the moments when the result is issued, the system checks the readiness of the modules randomly, the methodology for calculating the probability of failure was described. In [21], based on the use of a hierarchical concept of the organization of means of ensuring the functional stability of the company's information system, two algorithms were developed that form a two-level system for diagnosing hidden failures. Diagnosis begins with the execution of the first algorithm, the advantages of which compared with known algorithms are that it requires less system redundancy, only two rounds of message exchange between nodes of the information system, and provides diagnosis of the information system of the subtribe when almost half of its nodes fail.…”

Section: Literature Analysismentioning

confidence: 99%

Mathematical Model of Cyber Risks Management Based on the Expansion of Piecewise Continuous Analytical Approximation Functions of Cyber Attacks in the Fourier Series

Sobchuk,

Barabash,

Musienko

et al. 2023

Axioms

Self Cite

View full text Add to dashboard Cite

The comprehensive system of information security of an enterprise includes both tactical aspects of information and strategic priorities, reflecting the information policy and information strategy of the enterprise. Ensuring a given level of cybersecurity requires the identification of threat actors, their purpose, intentions of attacks on the IT infrastructure, and weak points of the enterprise’s information security. To achieve these goals, enterprises need new information security solutions. In this work, a mathematical model of the process of cyber risk management in the enterprise, which is based on the distribution of piecewise continuous analytical approximating functions of cyber attacks in the Fourier series, is obtained. A constant continuous monitoring and conduction of cyber regulatory control of the enterprise on time makes it possible to effectively ensure the cybersecurity of the enterprise in real time—predicting the emergence of cyber threats to some extent—which, in turn, determines the management of cyber risks arising in the field of information security of the enterprise. Such a Fourier series expansion of the piecewise continuous analytical approximating function of the intensity of cyber attacks on damage to standard software, obtained by approximating empirical–statistical slices of the intensity of cyber attacks on damage to standard software for each time period by analytical functions, opens up new mathematical possibilities of transition to systems of regulatory control of cyber threats of the enterprise from discrete to continuous automated process for such types of control.

show abstract

System Analysis and Method of Ensuring Functional Sustainability of the Information System of a Critical Infrastructure Object

Barabash,

Sobchuk,

Musienko

et al. 2023

Studies in Computational Intelligence

View full text Add to dashboard Cite

Evaluation of Efficiency of Application of Functionally Sustainable Generalized Information System of the Enterprise

Cited by 3 publications

References 12 publications

Approximation of Functions of the Classes CβψHα by Linear Methods Summation of Their Fourier Series

Approximation of Functions of the Classes CβψHα by Linear Methods Summation of Their Fourier Series

Mathematical Model of Cyber Risks Management Based on the Expansion of Piecewise Continuous Analytical Approximation Functions of Cyber Attacks in the Fourier Series

System Analysis and Method of Ensuring Functional Sustainability of the Information System of a Critical Infrastructure Object

Contact Info

Product

Resources

About