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Robust Generalized S-Procedure

delete2026-02-01
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PRE
AI
N
N. Dinh *
M
M. A. Goberna
D
D. H. Long
M
Michel Volle
DOI:10.1007/s10013-026-00791-0delete
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Abstract

Abstract

En 中文
We introduce in this paper the so-called robust generalized S-procedure associated with a given robust optimization problem. We provide a primal characterization for the validity of this procedure as well as a dual characterization under the assumption that the decision space is locally convex. We also analyze an extension of the mentioned robust S-procedure that incorporates a right-hand side function.
Keywords:
S-procedure
Robust optimization
Perturbational duality
Conjugacy
Hahn-Banach theorem

Journal

V
Vietnam Journal of Mathematics
IF:
0.7
Papers:
45
Citations:
0

Organization

V
vnu-hcm university of technology (hcmut)
Scholars:
739
Papers: 620
Citations: 0
U
Universitat d'Alacant
Scholars:
629
Papers: 328
Citations: 0
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Cited Papers

Cited Papers

A survey of the S-lemma
err2007-01-01
err388
PREAI
errPolik, Imre; Terlaky, Tamas
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Convexity and closedness in stable robust duality
err2019-03-01
err0
PREAI
errDinh,N.; Goberna,M. A.; López,M. A.; Volle,M.
errShare
errSave
On the S-procedure and Some Variants
err2006-06-09
err0
PREAI
errKürşad Derinkuyu; Mustafa Ç. Pınar
errShare
errSave
A fresh geometrical look at the general S-procedure
err2022-05-01
err0
PREAI
errLara,Michel De; Hiriart-Urruty,Jean-Baptiste
errShare
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Convex Analysis in General Vector Spaces
err
IF0
err2011-11-21
err0
PREAI
errC Zalinescu
errShare
errSave
Convex Analysis and Variational Problems
err
IF0
err2012-05-25
err0
PREAI
errIvar Ekeland; Roger Témam
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researcher View more