On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty

SIAM Journal on Optimization

Volumn 12, Issue 3, 2002, Pages 811-833

  Ben Tal, Aharon ^a   Nemirovski, Arkadi ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Data uncertainty; Lyapunov stability synthesis; Relaxations of combinatorial problems; Robust semidefinite optimization

Indexed keywords

EID: 0036353423     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623400374756     Document Type: Article

References (12)

1. Robust truss topology design via semidefinite programming
2. Robust convex optimization
3. Linear matrix inequalities in system and control theory
4. Robust semidefinite programming
5. ∞ design with pole placement constraints: An LMI approach
6. Robust solutions to uncertain semidefinite programs
7. Improved approximation algorithms for Maximum Cut and satisfiability problems using semidefinite programming
8. Several NP-hard problems arising in robust stability analysis
9. On polynomiality of the method of analytic centers for fractional problems
10. Interior-point polynomial algorithms in convex programming
11. Semidefinite relaxation and non-convex quadratic optimization