Unstable Oscillating Systems with Hysteresis: Problems of Stabilization and Control

Medvedskii, A. L.; Meleshenko, Peter A.; Нестеров, В. А.; Reshetova, Olga O.; Семенов, Михаил Е.; Solovyov, Andrey M.

doi:10.1134/s1064230720030090

Cited by 17 publications

(7 citation statements)

References 24 publications

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“…Therefore, the task of developing the high-precision numerical methods for constructing approximate solutions to systems of the form ( 21) is important. Note that this idea can also be transferred to models with hysteresis which were considered in [24][25][26].…”

Section: The Piecewise Smooth Systems With Quadratic-type Nonlinearit...mentioning

confidence: 99%

On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

Pchelintsev

2022

Mathematics

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The author of this article considers a numerical method that uses high-precision calculations to construct approximations to attractors of dynamical systems of chaotic type with a quadratic right-hand side, as well as to find the vertical asymptotes of solutions of systems of explosive type. A special case of such systems is the population explosion model. A theorem on the existence of asymptotes is proved. The extension of the numerical method for piecewise smooth systems is described using the Chua system as an example, as well as systems with hysteresis.

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Section: The Piecewise Smooth Systems With Quadratic-type Nonlinearit...mentioning

confidence: 99%

On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

Pchelintsev

2022

Mathematics

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“…This function significantly increases the flexibility of the UNC. It is obvious that this activation function helps to enhance the robustness of the neural network to various types of noise and improves the capacity of the intellectual output by adding degrees of freedom (i.e., parameters of the hysteresis model) [11][12][13][14][15][16] which determine the nonlinearity of the dynamics of the whole ANN. It is also important that the use of hysteresis functions with feedforward neural networks results in short-term memory effects.…”

Section: Neuron 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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“…Dynamic modeling of systems with hysteresis is a complex mathematical problem attracting the attention of many researchers. Design models include the non-ideal relay, Preisach operator, and Ishlinsky model [ 41 , 42 , 43 , 44 , 45 , 46 ], and phenomenological models include the Bouc–Wen, Ivan, Duhem, etc. [ 47 , 48 , 49 ].…”

Section: Introductionmentioning

confidence: 99%

A Simple Model of the Energy Harvester within a Linear and Hysteresis Approach

et al. 2023

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In this article, a model of an energy harvester, the mechanical part of which is an inverted pendulum, is proposed. We investigated the stability of a linearized system. It was proven that the stabilizing control of the pendulum, based on the feedback principle, enables the stabilization of the system. We have identified the zones of stability and the amplitude–frequency characteristics. In the second part of this article, a generalization of the dynamic system for the case of the hysteresis friction in the mechanical joint is considered. The role of nonlinear effects within the design Preisach model and the phenomenological Bouc–Wen model is shown.

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Unstable Oscillating Systems with Hysteresis: Problems of Stabilization and Control

Cited by 17 publications

References 24 publications

On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

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

A Simple Model of the Energy Harvester within a Linear and Hysteresis Approach

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