1 citations · 1 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Risk Analysis in Robust Control -- Making the Case for Probabilistic Robust Control
Xinjia Chen, Jorge Aravena, Kemin Zhou
This paper offers a critical view of the "worst-case" approach that is the cornerstone of robust control design. It is our contention that a blind acceptance of worst-case scenario…
Explicit Formula for Constructing Binomial Confidence Interval with Guaranteed Coverage Probability
Xinjia Chen, Kemin Zhou, Jorge L. Aravena
In this paper, we derive an explicit formula for constructing the confidence interval of binomial parameter with guaranteed coverage probability. The formula overcomes the limitati…
Probabilistic Robustness Analysis -- Risks, Complexity and Algorithms
Xinjia Chen, Kemin Zhou, Jorge L. Aravena
It is becoming increasingly apparent that probabilistic approaches can overcome conservatism and computational complexity of the classical worst-case deterministic framework and ma…