The Limited Solutions Method for Telecommunications Network Information Security Models

Sobchuk, Valentyn; Asrorov, Farhod; Perehuda, Oleg; Sukretna, A. V.; Лаптєв, Олександр; Лукова-Чуйко, Наталія

doi:10.1109/atit54053.2021.9678655

Cited by 6 publications

(2 citation statements)

References 25 publications

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“…This paper is devoted to the study of an important class of evolutionary systems characterized by the presence of impulsive disturbances when the system trajectory reaches a predefined subset in the phase space, often termed impulsive dynamical systems [28,29]. The systematic study of these systems began relatively recently and primarily focused on systems defined in the finite-dimensional phase spaces, e.g., on systems defined in Euclidean space R n , n ∈ N [30][31][32][33][34] and the so-called multi-frequency systems defined in the product of a torus and Euclidean space T m × R n , n, m ∈ N [35][36][37][38]. The results regarding the limit behavior of infinite-dimensional impulsive dynamical systems can be found in [39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

ω-Limit Sets of Impulsive Semigroups for Hyperbolic Equations

Feketa,

Fedorenko,

Bezushchak

et al. 2023

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In this paper, we investigate the qualitative behavior of an evolutionary problem consisting of a hyperbolic dissipative equation whose trajectories undergo instantaneous impulsive discontinuities at the moments when the energy functional reaches a certain threshold value. The novelty of the current study is that we consider the case in which the entire infinite-dimensional phase vector undergoes an impulsive disturbance. This substantially broadens the existing results, which admit discontinuities for only a finite subset of phase coordinates. Under fairly general conditions on the system parameters, we prove that such a problem generates an impulsive dynamical system in the natural phase space, and its trajectories have nonempty compact ω-limit sets.

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Section: Introductionmentioning

confidence: 99%

ω-Limit Sets of Impulsive Semigroups for Hyperbolic Equations

Feketa,

Fedorenko,

Bezushchak

et al. 2023

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“…The application of model situations for the optimization of technological processes related to energy management and conversion is considered in works [12][13][14][15]. In works [16,17], methods and solutions of mathematical models described by the corresponding systems of equations are investigated.…”

Section: Introductionmentioning

confidence: 99%

Optimizing Energy Conversion in a Piezo Disk Using a Controlled Supply of Electrical Load

Boryseiko,

Laptiev,

Perehuda

et al. 2023

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Piezoceramic products are actively used in modern technical devices and appliances. Disk piezoelectric devices are widely used in elements of information systems: in wireless communication, elements of satellite communication, global positioning systems. Among such devices, microwave piezo motors on traveling waves of various types are distinguished, including a motor built on an electromechanical disk converter, which performs non-axisymmetric oscillations under the action of a harmonic electric load. In this study, we perform separation of the electrode coating of the plate with thin diametrical dielectric sections and introduce a time-varying electric potential difference of different amplitude or phase to individual parts of the plate. We study the problem of non-axisymmetric planar oscillations of a piezoceramic disk with thickness polarization and the problem of optimization of the electromechanical coupling coefficient (EMCO) value as a function of an infinite number of parameters in space l2 of square summable sequences.

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