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On stochastic LQR design and polynomial chaos
10 references·5 citing·32 second hop
On stochastic LQR design and polynomial chaos (2008)On stochastic LQR design and polynomial c…Wiener Chaos expansions and numerical solutions of randomly forced equations of fluid mechanics (2006)Wiener Chaos expansions and n…Application of polynomial chaos in stability and control (2006)Application of polynomial cha…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation (2004)Stochastic Solutions for the …Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Propagation of probabilistic uncertainty in complex physical systems using a stochastic finite element approach (1999)Propagation of probabilistic …Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration (1998)Adaptive polynomial chaos exp…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…The polynomial chaos approach for reachable set propagation with application to chance‐constrained nonlinear optimal control under parametric uncertainties (2017)The polynomial chaos approach…Wiener–Haar Expansion for the Modeling and Prediction of the Dynamic Behavior of Self-Excited Nonlinear Uncertain Systems (2012)Wiener–Haar Expansion for the…Probabilistic control using H2 control design and polynomial chaos: Experimental design, analysis, and results (2012)Probabilistic control using H…Parametric Design Optimization of Uncertain Ordinary Differential Equation Systems (2012)Parametric Design Optimizatio…Polynomial Chaos Approaches to Parameter Estimation and Control Design for Mechanical Systems with Uncertain Parameters (2010)Polynomial Chaos Approaches t…Simulation of Stochastic Processes by Spectral Representation (1991)Numerical solution of spectral stochastic finite element systems (1996)Spectral and multiresolution Wiener expansions of oscillatory stochastic processes (2006)Polynomial Chaos-Based Analysis of Probabilistic Uncertainty in Hypersonic Flight Dynamics (2009)Metamodeling of dynamic nonlinear structural systems through polynomial chaos NARX models (2015)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Stochastic Projection Method for Fluid Flow (2001)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Stochastic 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Differential Equations with Random Coefficients (2012)A seamless approach towards stochastic modeling: Sparse grid collocation and data driven input models (2008)Efficient Quantification of the Effect of Uncertainties in Advection-Diffusion Problems Using Polynomial Chaos (2008)Intrusive Polynomial Chaos Methods for Forward Uncertainty Propagation (2017)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos (2007)Uncertainty quantification for systems of 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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 2006Wiener Chaos expansions and numerical solutions of randomly forced equations of fluid mechanics194 cited
  • 1999Propagation of probabilistic uncertainty in complex physical systems using a stochastic finite element approach186 cited
  • 2006Application of polynomial chaos in stability and control119 cited
  • 1998Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration106 cited
  • 2004Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation43 cited

Cited by

  • 2010Polynomial Chaos Approaches to Parameter Estimation and Control Design for Mechanical Systems with Uncertain Parameters18 cited
  • 2012Wiener–Haar Expansion for the Modeling and Prediction of the Dynamic Behavior of Self-Excited Nonlinear Uncertain Systems12 cited
  • 2012Probabilistic control using H2 control design and polynomial chaos: Experimental design, analysis, and results12 cited

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  • 2017The polynomial chaos approach for reachable set propagation with application to chance‐constrained nonlinear optimal control under parametric uncertainties10 cited
  • 2012Parametric Design Optimization of Uncertain Ordinary Differential Equation Systems9 cited