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Polynomial chaos expansions for optimal control of nonlinear random oscillators
16 references·3 citing·31 second hop
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1990Random vibration and statistical linearization995 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 1990Random vibration and statistical linearization822 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 1998Stochastic Linear Quadratic Regulators with Indefinite Control Weight Costs382 cited
  • 2000Stochastic Linear Quadratic Regulators with Indefinite Control Weight Costs. II340 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • 2007Stochastic model reduction for chaos representations191 cited
  • 1999Stochastic Finite Elements with Multiple Random Non-Gaussian Properties164 cited
  • 2008A note on the principle of preservation of probability and probability density evolution equation126 cited
  • 2006Application of polynomial chaos in stability and control119 cited
  • 1998Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration106 cited
  • 2009Polynomial chaos representation of spatio-temporal random fields from experimental measurements

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80 cited
  • 2004Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators80 cited
  • Cited by

    • 2012Simulation of stochastic systems via polynomial chaos expansions and convex optimization21 cited
    • 2020Active learning polynomial chaos expansion for reliability analysis by maximizing expected indicator function prediction error20 cited
    • 2018Global sensitivity analysis with a hierarchical sparse metamodeling method14 cited