The reliability of a stochastically complex dynamical system

Wei Li, Jiaorui Li and Weisheng Chen

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 13, 3556-3565

Abstract: The first-passage problem is an important issue in the theory of dynamical systems; it determines whether the system is safe and reliable or destroyed. Therefore, taking a suitable force to control first-passage failure is very significant for such systems. In this paper, we study the reliability of a stochastically complex dynamical system by using the stochastic averaging method. The reliability results show that the reliability function is monotonically decreasing with respect to time, and that the reliability of the system is relatively worse, with external and parametric white-noise excitations. A bang–bang feedback control is used to improve the reliability for the original system. Numerical results display that even a small control force can greatly enhance the reliability of the original system.

Keywords: Complex dynamical system; Reliability; Stochastic averaging method (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:13:p:3556-3565

DOI: 10.1016/j.physa.2012.02.020

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