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- Gillberg, JonasLinköpings universitet,Reglerteknik,Tekniska högskolan (author)
Polynomial Complexity for a Nesterov-Todd Potential-Reduction Method with Inexact Search Directions : Examples related to the KYP Lemma
- BookEnglish2003
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- Linköping :Linköping University Electronic Press,2003
- 17 s.
- electronicrdacarrier
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- LIBRIS-ID:oai:DiVA.org:liu-55930
- https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-55930URI
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- Language:English
- Summary in:English
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- LiTH-ISY-R,1400-3902 ;2511
Notes
- In this paper is discussed how to efficiently solve semidefinite programs related to the Kalman-Yakubovich-Popov lemma. We consider a potential-reduction method where Nesterov-Todd search directions are computed inexactly by applying a preconditioned conjugate gradient method on the Schur complement equations. An efficient preconditioner based on Lyapunov equations is derived. We give a proof of polynomial convergence for this interior point method.
Subject headings and genre
- TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik Reglerteknik hsv//swe
- ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering Control Engineering hsv//eng
- Lyapunov matrix equations
- Popov criterion
- Polynomials
- KYP lemma
- Automatic control
- Reglerteknik
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- Hansson, AndersLinköpings universitet,Reglerteknik,Tekniska högskolan(Swepub:liu)andha17 (author)
- Linköpings universitetReglerteknik (creator_code:org_t)
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