Study on the Structure of Limit Invariant Sets of Stationary Control Systems with Nonlinearity of Hysteresis Type

Research outputpeer-review

16 Citations (Scopus)

Abstract

In this paper both scalar and vector controls are built which solve the problem of relay-stabilizing of the system with hysteresis type nonlinearities. The behavior of closed system solutions in a neighborhood of its invariant set is studied, its structure is researched.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
EditorsT Simos, C Tsitouras
PublisherAmerican Institute of Physics
Number of pages5
Volume1863
ISBN (Electronic)9780735415386
DOIs
Publication statusPublished - 21 Jul 2017
EventInternational Conference on Numerical Analysis and Applied Mathematics (ICNAAM) - Rhodes
Duration: 18 Sep 201624 Sep 2016

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume1863
ISSN (Print)0094-243X

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics (ICNAAM)
CountryGreece
CityRhodes
Period18/09/1624/09/16

Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Alferov, G., Ivanov, G., Efimova, P., & Sharlay, A. (2017). Study on the Structure of Limit Invariant Sets of Stationary Control Systems with Nonlinearity of Hysteresis Type. In T. Simos, & C. Tsitouras (Eds.), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 (Vol. 1863). [080003] (AIP Conference Proceedings; Vol. 1863). American Institute of Physics. https://doi.org/10.1063/1.4992264
Alferov, Gennady ; Ivanov, Gennady ; Efimova, Polina ; Sharlay, Artem. / Study on the Structure of Limit Invariant Sets of Stationary Control Systems with Nonlinearity of Hysteresis Type. International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. editor / T Simos ; C Tsitouras. Vol. 1863 American Institute of Physics, 2017. (AIP Conference Proceedings).
@inproceedings{77fcf512c9814332a733c778015fd28f,
title = "Study on the Structure of Limit Invariant Sets of Stationary Control Systems with Nonlinearity of Hysteresis Type",
abstract = "In this paper both scalar and vector controls are built which solve the problem of relay-stabilizing of the system with hysteresis type nonlinearities. The behavior of closed system solutions in a neighborhood of its invariant set is studied, its structure is researched.",
author = "Gennady Alferov and Gennady Ivanov and Polina Efimova and Artem Sharlay",
year = "2017",
month = "7",
day = "21",
doi = "10.1063/1.4992264",
language = "English",
volume = "1863",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
editor = "T Simos and C Tsitouras",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016",
address = "United States",

}

Alferov, G, Ivanov, G, Efimova, P & Sharlay, A 2017, Study on the Structure of Limit Invariant Sets of Stationary Control Systems with Nonlinearity of Hysteresis Type. in T Simos & C Tsitouras (eds), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. vol. 1863, 080003, AIP Conference Proceedings, vol. 1863, American Institute of Physics, Rhodes, 18/09/16. https://doi.org/10.1063/1.4992264

Study on the Structure of Limit Invariant Sets of Stationary Control Systems with Nonlinearity of Hysteresis Type. / Alferov, Gennady; Ivanov, Gennady; Efimova, Polina; Sharlay, Artem.

International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. ed. / T Simos; C Tsitouras. Vol. 1863 American Institute of Physics, 2017. 080003 (AIP Conference Proceedings; Vol. 1863).

Research outputpeer-review

TY - GEN

T1 - Study on the Structure of Limit Invariant Sets of Stationary Control Systems with Nonlinearity of Hysteresis Type

AU - Alferov, Gennady

AU - Ivanov, Gennady

AU - Efimova, Polina

AU - Sharlay, Artem

PY - 2017/7/21

Y1 - 2017/7/21

N2 - In this paper both scalar and vector controls are built which solve the problem of relay-stabilizing of the system with hysteresis type nonlinearities. The behavior of closed system solutions in a neighborhood of its invariant set is studied, its structure is researched.

AB - In this paper both scalar and vector controls are built which solve the problem of relay-stabilizing of the system with hysteresis type nonlinearities. The behavior of closed system solutions in a neighborhood of its invariant set is studied, its structure is researched.

UR - http://www.scopus.com/inward/record.url?scp=85026665632&partnerID=8YFLogxK

U2 - 10.1063/1.4992264

DO - 10.1063/1.4992264

M3 - Conference contribution

VL - 1863

T3 - AIP Conference Proceedings

BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016

A2 - Simos, T

A2 - Tsitouras, C

PB - American Institute of Physics

ER -

Alferov G, Ivanov G, Efimova P, Sharlay A. Study on the Structure of Limit Invariant Sets of Stationary Control Systems with Nonlinearity of Hysteresis Type. In Simos T, Tsitouras C, editors, International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Vol. 1863. American Institute of Physics. 2017. 080003. (AIP Conference Proceedings). https://doi.org/10.1063/1.4992264