Global Stability Lobes of Turning Processes with State-Dependent Delay

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Global Stability Lobes of Turning Processes with State-Dependent Delay

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Title: Global Stability Lobes of Turning Processes with State-Dependent Delay
Author(s):
Hu, Qingwen. (UT Dallas);
Krawcewicz, Wieslaw (UT Dallas);
Turi, Jànos (UT Dallas)
Format: Text
Item Type: Article
Keywords: Turning processes
State dependent delay
Abstract: We obtain global stability lobes of two models of turning processes with inherit nonsmoothness due to the presence of state-dependent delays. In the process, we transform the models with state-dependent delays into systems of differential equations with both discrete and distributed delays and develop a procedure to determine analytically the global stability regions with respect to parameters. We find that the spindle speed control strategy that we investigated in [SIAM J. Appl. Math., 72 (2012), pp. 1–24] can provide essential improvement on the stability of turning processes with state-dependent delay, and furthermore we show the existence of a proper subset of the stability region which is independent of system damping. Numerical simulations are presented to illustrate the general results..
Publisher: SIAM
ISSN: 0036-1399
Persistent Link: http://hdl.handle.net/10735.1/2387
http://dx.doi.org/10.1137/110859051
Bibliographic Citation: Hu, Q., W. Krawcewicz, and J. Turi. 2012. "Global Stability Lobes of Turning Processes with State-Dependent Delay." SIAM Journal on Applied Mathematics 72 (5): doi:10.1137/110859051
Terms of Use: ©2012 Society for Industrial and Applied Mathematics

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