Selected Topics in Robust Convex Optimization

Robust Optimization is a rapidly developing methodology for handling optimization problems affected by non-stochastic ``uncertain-but-bounded'' data perturbations. In this paper, we overview several selected topics in this popular area, specifically, (1) recent extensions of the basic concept of {\sl robust counterpart} of an optimization problem with uncertain data, (2) tractability of robust counterparts, (3) links between RO and traditional chance constrained settings of problems with stochastic data, and (4) a novel generic application of the RO methodology in Robust Linear Control.

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The paper underlies the plenary lecture given by the second author at ISMP 2006 and will be published in the ISMP 2006 Special Issue of Mathematical Programming Series B

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