Linear Matrix Inequality Representation of Sets

  title={Linear Matrix Inequality Representation of Sets},
  author={J. William Helton and Victor Vinnikov and Israel helton},
This article concerns the question: which subsets of R m can be represented with Linear Matrix Inequalities, LMIs? This gives some perspective on the scope and limitations of one of the most powerful techniques commonly used in control theory. Also before having much hope of representing engineering problems as LMIs by automatic methods one needs a good idea of which problems can and cannot be represented by LMIs. Little is currently known about such problems. In this article we give a… CONTINUE READING
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