| Issue |
MATEC Web Conf.
Volume 241, 2018
International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2018)
|
|
|---|---|---|
| Article Number | 01020 | |
| Number of page(s) | 3 | |
| DOI | https://doi.org/10.1051/matecconf/201824101020 | |
| Published online | 03 December 2018 | |
On the hysteretic operators with random parameters
1
Voronezh State University, Universitetskaya sq. 1, 394006, Voronezh, Russia
2
Zhukovsky–Gagarin Air Force Academy, Starykh Bolshevikov st. 54 “A”, 394064, Voronezh, Russia
3
Voronezh State Technical University, XX-letiya Oktyabrya st. 84, 394006 Voronezh, Russia
4
Geophysical Survey of Russia Academy of Sciences, Lenina av. 189, 249035 Obninsk, Russia
5
Voronezh State University of Engineering Technology, Revolution av. 19, 394036 Voronezh, Russia
* e-mail: mkl150@mail.ru
** e-mail: melechp@yandex.ru
In this work we introduce the novel class of hysteretic operators with random parameters. We consider the definition of these operators in terms of the “input-output” relations, namely: for all permissible continuous inputs corresponds the output in the form of stochastic Markovian process. The properties of such operators are also considered and discussed on the example of a non-ideal relay with random parameters. Application of hysteretic operators with stochastic parameters is demonstrated on the example of simple oscillating system and the results of numerical simulations are presented.
© The Authors, published by EDP Sciences, 2018
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