Mathematics – Optimization and Control
Scientific paper
2008-05-12
IEEE Transactions on Automatic Control, vol. 45, pp. 1180-1186, June 2000
Mathematics
Optimization and Control
14 pages, 2 figures
Scientific paper
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 population is not assumed to be continuous and the order statistics is associated with certain constraints. In particular, we derive an inequality on distribution for related order statistics. Moreover, we also propose two different approaches in searching reliable solutions to the robust analysis and optimal synthesis problems under constraints. Furthermore, minimum computational effort is investigated and bounds for sample size are derived.
Chen Xinjia
Zhou Kemin
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