On stability of cutting processes in presence of random noises

A. Rodkina; M. Wiercigroch

On stability of cutting processes in presence of random noises

Research output: Chapter in Book/Report/Conference proceeding › Published conference 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 language	English
Title of host publication	European Control Conference, ECC 1999 - Conference Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3726-3730
Number of pages	5
ISBN (Electronic)	9783952417355
Publication status	Published - 24 Mar 2015
Event	1999 European Control Conference, ECC 1999 - Karlsruhe, Germany Duration: 31 Aug 1999 → 3 Sep 1999

Conference

Conference	1999 European Control Conference, ECC 1999
Country/Territory	Germany
City	Karlsruhe
Period	31/08/99 → 3/09/99

Keywords

cutting processes
stochastic differential equations

Cite this

@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 = mar,

day = "24",

language = "English",

pages = "3726--3730",

booktitle = "European Control Conference, ECC 1999 - Conference Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "1999 European Control Conference, ECC 1999 ; Conference date: 31-08-1999 Through 03-09-1999",

}

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 - Published conference contribution

AN - SCOPUS:84930599547

SP - 3726

EP - 3730

BT - European Control Conference, ECC 1999 - Conference Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1999 European Control Conference, ECC 1999

Y2 - 31 August 1999 through 3 September 1999

ER -

On stability of cutting processes in presence of random noises

Abstract

Conference

Keywords

Other files and links

Fingerprint

Cite this