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Mathematics > Optimization and Control

arXiv:0802.1766 (math)
[Submitted on 13 Feb 2008]

Title:Structured Semidefinite Representation of Some Convex Sets

Authors:J. William Helton, Jiawang Nie
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Abstract: 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 are in fact expressible as LMIs. For optimization purposes 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 methods for actually constructing lifts and their LMI representation.
Comments: 6 pages
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:0802.1766 [math.OC]
  (or arXiv:0802.1766v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.0802.1766

Submission history

From: Jiawang Nie [view email]
[v1] Wed, 13 Feb 2008 06:57:10 UTC (11 KB)
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