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Boundary Oracles for Control-Related Matrix Sets
unpublished
This paper presents closed-form solutions for the problem of finding the points of intersection of a 1D line and the boundary of typical matrix sets encountered in control; specifically, those defined by linear matrix inequalities. This procedure is referred to as boundary oracle; it is the key technical component of various random walk algorithms exploited within the randomized approach to control and optimization. In the paper, several such oracles are devised and generalized to robust
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