On stability of cutting processes in presence of random noises

A. Rodkina, M. Wiercigroch

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The dynamics of a nonlinear cutting process in the presence of random noise is defined and investigated. This approach is adequate for a wide range of models describing the orthogonal metal cutting processes as an oscillator where nonlinearity comes from the cutting force. The method of Lyapunov-Krasovskii functional was adopted to analyse the system. The conditions ensuring an asymptotic stability in the presence of random noises are established.

Original languageEnglish
Title of host publicationEuropean Control Conference, ECC 1999 - Conference Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3726-3730
Number of pages5
ISBN (Electronic)9783952417355
Publication statusPublished - 24 Mar 2015
Event1999 European Control Conference, ECC 1999 - Karlsruhe, Germany
Duration: 31 Aug 19993 Sep 1999

Conference

Conference1999 European Control Conference, ECC 1999
CountryGermany
CityKarlsruhe
Period31/08/993/09/99

Fingerprint

Metal cutting
Asymptotic stability

Keywords

  • cutting processes
  • stochastic differential equations

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Rodkina, A., & Wiercigroch, M. (2015). On stability of cutting processes in presence of random noises. In European Control Conference, ECC 1999 - Conference Proceedings (pp. 3726-3730). [7099910] Institute of Electrical and Electronics Engineers Inc..

On stability of cutting processes in presence of random noises. / Rodkina, A.; Wiercigroch, M.

European Control Conference, ECC 1999 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. p. 3726-3730 7099910.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rodkina, A & Wiercigroch, M 2015, On stability of cutting processes in presence of random noises. in European Control Conference, ECC 1999 - Conference Proceedings., 7099910, Institute of Electrical and Electronics Engineers Inc., pp. 3726-3730, 1999 European Control Conference, ECC 1999, Karlsruhe, Germany, 31/08/99.
Rodkina A, Wiercigroch M. On stability of cutting processes in presence of random noises. In European Control Conference, ECC 1999 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc. 2015. p. 3726-3730. 7099910
Rodkina, A. ; Wiercigroch, M. / On stability of cutting processes in presence of random noises. European Control Conference, ECC 1999 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 3726-3730
@inproceedings{4d6731fa147f4eff82eede3b55e88eb6,
title = "On stability of cutting processes in presence of random noises",
abstract = "The dynamics of a nonlinear cutting process in the presence of random noise is defined and investigated. This approach is adequate for a wide range of models describing the orthogonal metal cutting processes as an oscillator where nonlinearity comes from the cutting force. The method of Lyapunov-Krasovskii functional was adopted to analyse the system. The conditions ensuring an asymptotic stability in the presence of random noises are established.",
keywords = "cutting processes, stochastic differential equations",
author = "A. Rodkina and M. Wiercigroch",
year = "2015",
month = "3",
day = "24",
language = "English",
pages = "3726--3730",
booktitle = "European Control Conference, ECC 1999 - Conference Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - GEN

T1 - On stability of cutting processes in presence of random noises

AU - Rodkina, A.

AU - Wiercigroch, M.

PY - 2015/3/24

Y1 - 2015/3/24

N2 - The dynamics of a nonlinear cutting process in the presence of random noise is defined and investigated. This approach is adequate for a wide range of models describing the orthogonal metal cutting processes as an oscillator where nonlinearity comes from the cutting force. The method of Lyapunov-Krasovskii functional was adopted to analyse the system. The conditions ensuring an asymptotic stability in the presence of random noises are established.

AB - The dynamics of a nonlinear cutting process in the presence of random noise is defined and investigated. This approach is adequate for a wide range of models describing the orthogonal metal cutting processes as an oscillator where nonlinearity comes from the cutting force. The method of Lyapunov-Krasovskii functional was adopted to analyse the system. The conditions ensuring an asymptotic stability in the presence of random noises are established.

KW - cutting processes

KW - stochastic differential equations

UR - http://www.scopus.com/inward/record.url?scp=84930599547&partnerID=8YFLogxK

M3 - Conference contribution

SP - 3726

EP - 3730

BT - European Control Conference, ECC 1999 - Conference Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

ER -