Structured Semidefinite Representation of Some Convex Sets - Mathematics > Optimization and ControlReport as inadecuate




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Abstract: Linear matrix Inequalities LMIs have had a major impact on control butformulating a problem as an LMI is an art. Recently there is the beginnings ofa theory of which problems are in fact expressible as LMIs. For optimizationpurposes it can also be useful to have -lifts- which are expressible as LMIs.We show here that this is a much less restrictive condition and give methodsfor actually constructing lifts and their LMI representation.



Author: J. William Helton, Jiawang Nie

Source: https://arxiv.org/



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