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Description
  • Není k dispozici (cs)
  • Using a moment interpretation of recent results on sum-of-squares decompositions of nonnegative polynomial matrices, we propose a hierarchy of convex linear matrix inequality (LMI) relaxations to solve nonconvex polynomial matrix inequality (PMI) optimization problems, including bilinear matrix inequality (BMI) problems. This hierarchy of LMI relaxations generates a monotone sequence of lower bounds that converges to the global optimum. Results from the theory of moments are used to detect whether the global optimum is reached at a given LMI relaxation, and if so, to extract global minimizers that satisfy the PMI. The approach is successfully applied to PMIs arising from static output feedback design problems.
  • Using a moment interpretation of recent results on sum-of-squares decompositions of nonnegative polynomial matrices, we propose a hierarchy of convex linear matrix inequality (LMI) relaxations to solve nonconvex polynomial matrix inequality (PMI) optimization problems, including bilinear matrix inequality (BMI) problems. This hierarchy of LMI relaxations generates a monotone sequence of lower bounds that converges to the global optimum. Results from the theory of moments are used to detect whether the global optimum is reached at a given LMI relaxation, and if so, to extract global minimizers that satisfy the PMI. The approach is successfully applied to PMIs arising from static output feedback design problems. (en)
Title
  • Convergent Relaxations of Polynomial Matrix Inequalities and Static Output Feedback
  • Není k dispozici (cs)
  • Convergent Relaxations of Polynomial Matrix Inequalities and Static Output Feedback (en)
skos:prefLabel
  • Convergent Relaxations of Polynomial Matrix Inequalities and Static Output Feedback
  • Není k dispozici (cs)
  • Convergent Relaxations of Polynomial Matrix Inequalities and Static Output Feedback (en)
skos:notation
  • RIV/68407700:21230/06:03118073!RIV07-GA0-21230___
http://linked.open.../vavai/riv/strany
  • 192;202
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  • P(GA102/05/0011), P(GA102/06/0652)
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  • 2
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  • 469809
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  • RIV/68407700:21230/06:03118073
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  • Convex optimization; nonconvex optimization; polynomial matrix; static output feedback design (en)
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  • US - Spojené státy americké
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  • [2A1CFC1D7B18]
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  • IEEE Transactions on Automatic Control
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  • 51
http://linked.open...iv/tvurceVysledku
  • Henrion, Didier
  • Lasserre, J.-B.
issn
  • 0018-9286
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
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