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Interior-Point Algorithms for Semidefinite Programming Problems Derived from the KYP Lemma

Vandenberghe, Lieven (author)
University of California, Los Angeles, USA
Balakrishnan, Venkataramanan (author)
Purdue University, Richmond, IN, USA
Wallin, Ragnar, 1962- (author)
Linköpings universitet,Reglerteknik,Tekniska högskolan
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Hansson, Anders (author)
Linköpings universitet,Reglerteknik,Tekniska högskolan
Roh, Tae (author)
University of California, Los Angeles, USA
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 (creator_code:org_t)
2005-08-04
2005
English.
In: Positive Polynomials in Control. - Berlin, Heidelberg : Springer Berlin/Heidelberg. - 3540239480 ; , s. 195-238
  • Book chapter (peer-reviewed)
Abstract Subject headings
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  • We discuss fast implementations of primal-dual interior-point methods for semidefinite programs derived from the Kalman-Yakubovich-Popov lemma, a class of problems that are widely encountered in control and signal processing applications. By exploiting problem structure we achieve a reduction of the complexity by several orders of magnitude compared to general-purpose semidefinite programming solvers.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Keyword

Kalman-Yakubovich-Popov lemma
Applications
Semidefinite programming solver
TECHNOLOGY
TEKNIKVETENSKAP

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