most citedOrder Statistics and Probabilistic Robust Control

1 citations · 1 across the 8 of their papers we have counts for

collaborators

8 papers

math.OC2008

Parallel Branch and Bound Algorithm for Computing Maximal Structured Singular Value

Xinjia Chen, Kemin Zhou

In this paper, we have developed a parallel branch and bound algorithm which computes the maximal structured singular value without tightly bounding for each frequency and…

math.OC2008

Fast Parallel Frequency Sweeping Algorithms for Robust -Stability Margin

Xinjia Chen, Kemin Zhou

This paper considers the robust -stability margin problem under polynomic structured real parametric uncertainty. Based on the work of De Gaston and Safonov (1988), we ha…

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

On the Binomial Confidence Interval and Probabilistic Robust Control

Xinjia Chen, Kemin Zhou, Jorge L. Aravena

The Clopper-Pearson confidence interval has ever been documented as an exact approach in some statistics literature. More recently, such approach of interval estimation has been in…

math.OC2008

Constrained Optimal Synthesis and Robustness Analysis by Randomized Algorithms

Xinjia Chen, Kemin Zhou

In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of…