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Stochastic Dynamics and Control · Study

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ChapterStochastic Dynamics and Control

Jian‐Qiao Sun2006

Chapter2006

Stochastic Dynamics and Control

Jian‐Qiao Sun

149 citations·0/0 files stored·Monograph series on nonlinear science and complexity

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Probabilistic and Robust Engineering Design Structural Health Monitoring Techniques Vibration and Dynamic Analysis

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References

1999Stochastic controls : Hamiltonian systems and HJB equations 1990Numerical Methods for Stochastic Control Problems in Continuous Time 1976Probabilistic Theory of Structural Dynamics 1991Simulation of Stochastic Processes by Spectral Representation 1990Random vibration and statistical linearization 1967Probabilistic Structural Dynamics: Advanced Theory and Applications 1986Stochastic averaging: An approximate method of solving random vibration problems 1988Nonlinear Vibration Models for Extremes and Fatigue

Cited by

2009Linear quadratic regulation of systems with stochastic parameter uncertainties 2021Random vibration analysis with radial basis function neural networks 2014Dimension Reduction of the FPK Equation via an Equivalence of Probability Flux for Additively Excited Systems 2022First-Passage Problem in Random Vibrations With Radial Basis Function Neural Networks 2023Stochastic Dynamics of Suspension System in Maglev Train: Governing Equations for Response Statistics and Reliability

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2000A new stationary PDF approximation for non-linear oscillatorsarticle · 6 shared references 2012Stochastic Dynamics of Marine Structuresbook · 5 shared references 2018Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitationarticle · 5 shared references 2006Reliability analysis of randomly vibrating structures with parameter uncertaintiesarticle · 5 shared references 1998Multi-Gaussian closure method for randomly excited non-linear systemsarticle · 5 shared references 1992Robust Numerical Solution of the Transient Fokker-Planck Equation for Nonlinear Dynamical Systemschapter · 5 shared references

Details

Year2006

Typechapter

Published2006-01-01

VenueMonograph series on nonlinear science and complexity

ISSN-L1574-6917

Languageen

Citations149

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/s1574-6917(06)04001-3

openalex_workW1493357482

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2024

An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise

2022Response Statistics of Single-Degree-of-Freedom Systems with Lévy Noise by Improved Path Integral Method