Stochastic Preisach operator: definition within the design approach

Семенов, Михаил Е.; Borzunov, Sergei; Meleshenko, Peter A.

doi:10.1007/s11071-020-05907-w

Cited by 10 publications

(9 citation statements)

References 52 publications

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“…Thus, the reaction of systems to destructive influences applied to them depends, among other things, on their current state, and the dynamics of the system over a time interval is largely determined by its prehistory. This behavior of the system is close to the phenomena of systemic hysteresis described in the literature [20][21][22]. The use of the combinatorial model given in the article, in contrast to the models described in [1][2][3][4][5][6][7] and others, develops a set-theoretic representation of systems for solving problems related to the study of the functioning of systems under destructive conditions and external influences, namely with the minimization of information losses in the system.…”

Section: Simulation Resultsmentioning

confidence: 64%

A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems

et al. 2022

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A combinatorial model is proposed for determining the probability and information losses in an organizational and technical system (OTS) under destructive external influences. Mathematical expressions are obtained to determine the loss of information in the clusters of the control system. It is shown that the use of this model for a quantitative analysis of the probability of occurrence of events and information losses in the control system, under varying external influences on the dynamic OTS, makes it possible to carry out a quantitative analysis and synthesis of the structure of the control system that is resistant to destructive external influences. A decomposition of the probabilities of occurrence of events and the corresponding loss of information by the levels of the hierarchy of the analyzed air traffic control system is presented. The achieved result is due to the sensitivity of the model for determining information losses relative to changes in the structure of the system and destructive external influences, as well as the use of the mathematical apparatus in combinatorial analyses.

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Section: Simulation Resultsmentioning

confidence: 64%

A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems

et al. 2022

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“…A generalization of the Preisach converter assuming stochastic nature of the parameters of non-ideal relays is given in [111], where a description of its probabilistic properties in terms of moment functions is presented. The paper describe in details such properties of the stochastic Preisach operator as monotonicity and controllability (in a probabilistic sense).…”

Section: Stochastic External Excitation and Non-deterministic Systemsmentioning

confidence: 99%

The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

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The Preisach model is a well-known model of hysteresis in the modern nonlinear science. This paper provides an overview of works that are focusing on the study of dynamical systems from various areas (physics, economics, biology), where the Preisach model plays a key role in the formalization of hysteresis dependencies. Here we describe the input-output relations of the classical Preisach operator, its basic properties, methods of constructing the output using the demagnetization function formalism, a generalization of the classical Preisach operator for the case of vector input-output relations. Various generalizations of the model are described here in relation to systems containing ferromagnetic and ferroelectric materials. The main attention we pay to experimental works, where the Preisach model has been used for analytic description of the experimentally observed results. Also, we describe a wide range of the technical applications of the Preisach model in such fields as energy storage devices, systems under piezoelectric effect, models of systems with long-term memory. The properties of the Preisach operator in terms of reaction to stochastic external impacts are described and a generalization of the model for the case of the stochastic threshold numbers of its elementary components is given.

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“…At the moment, there are a large number of mathematical models of hysteresis, which can be used to construct the HAF, for instance the Bouc-Wen model [18][19][20][21] or the S-converter model [22]. However, with regard to the hardware implementation of hysteresis in the UNC, the Preisach model [23][24][25][26][27][28] proves to be more practical, since it is the simplest and the most scalable from the point of view of finite automata theory.…”

Section: Hysteresis Activation Functionmentioning

confidence: 99%

A Model of a Universal Neural Computer with Hysteresis Dynamics for Avionics Problems

et al. 2022

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The paper proposes a method for implementing a universal neural network processor with hysteresis dynamics. This processor allows a wide range of heterogeneous tasks in real time to be performed without reprogramming and changing their internal structure. Adding hysteresis behavior to the system makes it possible to increase resistance to external influences, the complexity as well as non-linearity of intelligent output. The paper discusses the use of this processor as part of an on-board intelligent avionics system.

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Stochastic Preisach operator: definition within the design approach

Cited by 10 publications

References 52 publications

A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems

A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems

The Preisach model of hysteresis: fundamentals and applications

A Model of a Universal Neural Computer with Hysteresis Dynamics for Avionics Problems

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