... circumvents the challenges that rare and extreme events pose for traditional uncertainty quantification schemes, in particular the computational burden associated when dealing with rare events in systems. We emphasize the statistical accuracy and the computational efficiency of the presented approach, which...

... assessment and uncertainty quantification, and associated robust optimization to reduce the effect of the worst case resonance response level [ 20 ]. In order to perform parametric studies and uncertainty analysis, the root finding nonlinear solver must be used repeatedly, which requires large computational...

... , 49 ( 6 ), pp. 1715 – 1722 . 10.1016/j.automatica.2013.01.051 Control Fractional calculus Robotics Stability Uncertainty quantification Stability of nonlinear systems Mechanism systems In the past decades, the control theory has been successfully applied to many systems...

...Radu Serban; Yan Wang; Paramsothy Jayakumar; Kyung K. Choi 04 12 2017 05 12 2017 Design optimization Uncertainty quantification Design sensitivity Nonlinear systems The development and acceptance of modeling and simulation tools in the design of large and complex...

... received March 27, 2017; published online May 4, 2017. Assoc. Editor: Corina Sandu. 09 04 2016 27 03 2017 Algorithms Nonlinear dynamical systems Stability Uncertainty quantification Integration methods Consider an autonomous ODE with initial value conditions as (2.10...