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math.OC2008★ 7 cited
Structured Semidefinite Representation of Some Convex Sets
J. William Helton, Jiawang Nie
Linear matrix Inequalities (LMIs) have had a major impact on control but formulating a problem as an LMI is an art. Recently there is the beginnings of a theory of which problems a…
math.OC2007★ 3 cited
Sufficient and Necessary Conditions for Semidefinite Representability of Convex Hulls and Sets
J. William Helton, Jiawang Nie
A set $S\subseteq \re^n$ is called to be {\it Semidefinite (SDP)} representable if equals the projection of a set in higher dimensional space which is describable by some Linea…