%0 Journal Article %T Fast Parallel Frequency Sweeping Algorithms for Robust ${\cal D}$-Stability Margin %A Xinjia Chen %A Kemin Zhou %J Mathematics %D 2008 %I arXiv %X This paper considers the robust ${\cal D}$-stability margin problem under polynomic structured real parametric uncertainty. Based on the work of De Gaston and Safonov (1988), we have developed techniques such as, a parallel frequency sweeping strategy, different domain splitting schemes, which significantly reduce the computational complexity and guarantee the convergence. %U http://arxiv.org/abs/0805.1664v1