Global Stability Lobes of Turning Processes with State-Dependent Delay

dc.contributor.ISNI0000 0001 1616 0605 (Krawcewicz, W)
dc.contributor.ISNI0000 0000 4128 774X (Turi, J)
dc.contributor.LCNA89645792 (Krawcewicz, W)
dc.contributor.LCNA88656618 (Turi, J)
dc.contributor.authorHu, Qingwen.en_US
dc.contributor.authorKrawcewicz, Wieslawen_US
dc.contributor.authorTuri, Jànosen_US
dc.contributor.utdAuthorHu, Qingwen.en_US
dc.contributor.utdAuthorKrawcewicz, Wieslawen_US
dc.contributor.utdAuthorTuri, Jànosen_US
dc.date.accessioned2012-11-15T20:11:51Z
dc.date.available2012-11-15T20:11:51Z
dc.date.created2012-09-13en_US
dc.date.issued2012-09-13en_US
dc.description.abstractWe 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..en_US
dc.identifier.bibliographicCitationHu, 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:10.1137/110859051en_US
dc.identifier.issn0036-1399en_US
dc.identifier.issue5
dc.identifier.urihttp://hdl.handle.net/10735.1/2387
dc.identifier.volume72en_US
dc.language.isoenen_US
dc.publisherSIAMen_US
dc.relation.urihttp://dx.doi.org/10.1137/110859051
dc.rights©2012 Society for Industrial and Applied Mathematicsen_US
dc.sourceSIAM Journal on Applied Mathematics
dc.subjectTurning processesen_US
dc.subjectState dependent delayen_US
dc.titleGlobal Stability Lobes of Turning Processes with State-Dependent Delayen_US
dc.typeTexten_US
dc.type.genreArticleen_US

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