NDLI: First-passage failure of harmonically and stochastically excited Duffing oscillator with delayed feedback control

Content Provider	Springer Nature Link
Author	Feng, ChangShui Zhu, WeiQiu
Copyright Year	2011
Abstract	The first-passage failure of Duffing oscillator with the delayed feedback control under the combined harmonic and white-noise excitations is investigated. First, the time-delayed feedback control force is expressed approximately in terms of the system state variables without time delay. Then, the averaged Itô stochastic differential equations for the system are derived by using the stochastic averaging method. A backward Kolmogorov equation governing the conditional reliability function and a set of generalized Pontryagin equations governing the conditional moments of the first-passage time are established. Finally, the conditional reliability function, the conditional probability density and moments of the first-passage time are obtained by solving the backward Kolmogorov equation and generalized Pontryagin equations with suitable initial and boundary conditions. The effects of time delay in feedback control force on the conditional reliability function, conditional probability density and moments of the first-passage time are analyzed. The validity of the proposed method is confirmed by digital simulation.
Starting Page	1072
Ending Page	1077
Page Count	6
File Format	PDF
ISSN	16747321
Journal	Science in China Series E: Technological Sciences
Volume Number	54
Issue Number	5
e-ISSN	1862281X
Language	English
Publisher	SP Science China Press
Publisher Date	2011-03-28
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	first-passage failure combined harmonic and white noise excitations delayed feedback control stochastic averaging Engineering
Content Type	Text
Resource Type	Article
Subject	Engineering Materials Science

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