FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2894101884> ?p ?o ?g. }

• W2894101884 abstract "This two-part paper is concerned with the problem of minimizing a linear objective function subject to a bilinear matrix inequality (BMI) constraint. In this part, we first consider a family of convex relaxations which transform BMI optimization problems into polynomial-time solvable surrogates. As an alternative to the state-of-the-art semidefinite programming (SDP) and second-order cone programming (SOCP) relaxations, a computationally efficient parabolic relaxation is developed, which relies on convex quadratic constraints only. Next, we developed a family of penalty functions, which can be incorporated into the objective of SDP, SOCP, and parabolic relaxations to facilitate the recovery of feasible points for the original non-convex BMI optimization. Penalty terms can be constructed using any arbitrary initial point. We prove that if the initial point is sufficiently close to the feasible set, then the penalized relaxations are guaranteed to produce feasible points for the original BMI. In Part II of the paper, the efficacy of the proposed penalized convex relaxations is demonstrated on benchmark instances of H2 and Hinf optimal control synthesis problems." @default.
• W2894101884 created "2018-10-05" @default.
• W2894101884 creator A5002638643 @default.
• W2894101884 creator A5015341130 @default.
• W2894101884 creator A5054855377 @default.
• W2894101884 date "2018-09-26" @default.
• W2894101884 modified "2023-09-27" @default.
• W2894101884 title "Convex Relaxation of Bilinear Matrix Inequalities Part I: Theoretical Results." @default.
• W2894101884 cites W1487876791 @default.
• W2894101884 cites W1496845253 @default.
• W2894101884 cites W1532932064 @default.
• W2894101884 cites W1558831267 @default.
• W2894101884 cites W1568307856 @default.
• W2894101884 cites W1599634084 @default.
• W2894101884 cites W1632601927 @default.
• W2894101884 cites W1884597428 @default.
• W2894101884 cites W1905219297 @default.
• W2894101884 cites W1937324737 @default.
• W2894101884 cites W1967344706 @default.
• W2894101884 cites W1969379557 @default.
• W2894101884 cites W1976953966 @default.
• W2894101884 cites W1986468691 @default.
• W2894101884 cites W2001033871 @default.
• W2894101884 cites W2007784570 @default.
• W2894101884 cites W2011252314 @default.
• W2894101884 cites W2039867272 @default.
• W2894101884 cites W2043363105 @default.
• W2894101884 cites W2054339114 @default.
• W2894101884 cites W2058209380 @default.
• W2894101884 cites W2066736759 @default.
• W2894101884 cites W2076199517 @default.
• W2894101884 cites W2089122170 @default.
• W2894101884 cites W2094001563 @default.
• W2894101884 cites W2100573451 @default.
• W2894101884 cites W2102461053 @default.
• W2894101884 cites W2110576218 @default.
• W2894101884 cites W2111836897 @default.
• W2894101884 cites W2136619318 @default.
• W2894101884 cites W2153597269 @default.
• W2894101884 cites W2156513118 @default.
• W2894101884 cites W2291269933 @default.
• W2894101884 cites W2444646639 @default.
• W2894101884 cites W2571115124 @default.
• W2894101884 cites W3210839039 @default.
• W2894101884 hasPublicationYear "2018" @default.
• W2894101884 type Work @default.
• W2894101884 sameAs 2894101884 @default.
• W2894101884 citedByCount "0" @default.
• W2894101884 crossrefType "posted-content" @default.
• W2894101884 hasAuthorship W2894101884A5002638643 @default.
• W2894101884 hasAuthorship W2894101884A5015341130 @default.
• W2894101884 hasAuthorship W2894101884A5054855377 @default.
• W2894101884 hasConcept C101901036 @default.
• W2894101884 hasConcept C105795698 @default.
• W2894101884 hasConcept C106487976 @default.
• W2894101884 hasConcept C111397411 @default.
• W2894101884 hasConcept C112680207 @default.
• W2894101884 hasConcept C12108790 @default.
• W2894101884 hasConcept C126255220 @default.
• W2894101884 hasConcept C13280743 @default.
• W2894101884 hasConcept C137836250 @default.
• W2894101884 hasConcept C145446738 @default.
• W2894101884 hasConcept C155253501 @default.
• W2894101884 hasConcept C15744967 @default.
• W2894101884 hasConcept C157972887 @default.
• W2894101884 hasConcept C159985019 @default.
• W2894101884 hasConcept C177067428 @default.
• W2894101884 hasConcept C185798385 @default.
• W2894101884 hasConcept C192562407 @default.
• W2894101884 hasConcept C201829737 @default.
• W2894101884 hasConcept C205203396 @default.
• W2894101884 hasConcept C205649164 @default.
• W2894101884 hasConcept C2524010 @default.
• W2894101884 hasConcept C2776029896 @default.
• W2894101884 hasConcept C28826006 @default.
• W2894101884 hasConcept C33923547 @default.
• W2894101884 hasConcept C77805123 @default.
• W2894101884 hasConcept C79187972 @default.
• W2894101884 hasConceptScore W2894101884C101901036 @default.
• W2894101884 hasConceptScore W2894101884C105795698 @default.
• W2894101884 hasConceptScore W2894101884C106487976 @default.
• W2894101884 hasConceptScore W2894101884C111397411 @default.
• W2894101884 hasConceptScore W2894101884C112680207 @default.
• W2894101884 hasConceptScore W2894101884C12108790 @default.
• W2894101884 hasConceptScore W2894101884C126255220 @default.
• W2894101884 hasConceptScore W2894101884C13280743 @default.
• W2894101884 hasConceptScore W2894101884C137836250 @default.
• W2894101884 hasConceptScore W2894101884C145446738 @default.
• W2894101884 hasConceptScore W2894101884C155253501 @default.
• W2894101884 hasConceptScore W2894101884C15744967 @default.
• W2894101884 hasConceptScore W2894101884C157972887 @default.
• W2894101884 hasConceptScore W2894101884C159985019 @default.
• W2894101884 hasConceptScore W2894101884C177067428 @default.
• W2894101884 hasConceptScore W2894101884C185798385 @default.
• W2894101884 hasConceptScore W2894101884C192562407 @default.
• W2894101884 hasConceptScore W2894101884C201829737 @default.
• W2894101884 hasConceptScore W2894101884C205203396 @default.
• W2894101884 hasConceptScore W2894101884C205649164 @default.
• W2894101884 hasConceptScore W2894101884C2524010 @default.
• W2894101884 hasConceptScore W2894101884C2776029896 @default.

• next