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math.OC2008
Sample Reuse Techniques of Randomized Algorithms for Control under Uncertainty
Xinjia Chen, Jorge L. Aravena, Kemin Zhou
Sample reuse techniques have significantly reduced the numerical complexity of probabilistic robustness analysis. Existing results show that for a nested collection of hyper-sphere…
math.OC2008
Fast Universal Algorithms for Robustness Analysis
Xinjia Chen, Kemin Zhou, Jorge L. Aravena
In this paper, we develop efficient randomized algorithms for estimating probabilistic robustness margin and constructing robustness degradation curve for uncertain dynamic systems…
math.OC2008
Fast Construction of Robustness Degradation Function
Xinjia Chen, Kemin Zhou, Jorge L. Aravena
We develop a fast algorithm to construct the robustness degradation function, which describes quantitatively the relationship between the proportion of systems guaranteeing the rob…