Rodkina, Alexandra E.; Wierchigroch, M. E.
Author Affiliation, Ana.
Department of Mathematics and Computer Science
On stability of cutting processes in presence of random noises
European Control Conference ECC '99, Karsruhe, Germany, 31 August-3 September, 1999
Place of Publication
VDI/VDE-Gesellchaft Mess-und Automatisierunstechnik (GMA)
Date of Publication
Paper ID: F1027-3
Series Editor Role
Series Volume Identification
Series Issue Identification
CD-ROM. Abstract also published in the 'Summaries Volume', p.181, of the conference proceedings.
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 anlyse the system. The conditions ensuring an asymptotic stability in the presence of random noises are established.....