An exact analytical solution and a majorization-minimization algorithm are derived for optimal outer approximations of Minkowski sums of matrix ellipsoids under sum-of-squared-semi-axes and volume criteria.
From noi sy data to feedback controllers: Nonconservative design via a matrix S- lemma,
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Scalable Outer Approximation of Minkowski Sums of Matrix Ellipsoids for Data-Driven Control
An exact analytical solution and a majorization-minimization algorithm are derived for optimal outer approximations of Minkowski sums of matrix ellipsoids under sum-of-squared-semi-axes and volume criteria.