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Stability analysis of stochastic systems using polynomial chaos

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References

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Cited by

2013Stochastic study of a non-linear self-excited system with friction48 cited
2012Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems45 cited
2011A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems45 cited
2013Wiener's Polynomial Chaos for the Analysis and Control of Nonlinear Dynamical Systems with Probabilistic Uncertainties36 cited
2010Distributional uncertainty analysis using polynomial chaos expansions21 cited
2012Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations21 cited

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2019

Numerical modeling of uncertainty in acoustic propagation via generalized polynomial chaos

15 cited

2019Generalized Polynomial Chaos Expansion Approach for Uncertainty Quantification in Small Satellite Orbital Debris Problems15 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

2017The polynomial chaos approach for reachable set propagation with application to chance‐constrained nonlinear optimal control under parametric uncertainties10 cited