Title
A Newton-like method for solving rank constrained linear matrix inequalities
Abstract
This paper presents a Newton-like algorithm for solving systems of rank constrained linear matrix inequalities. Though local quadratic convergence of the algorithm is not a priori guaranteed or observed in all cases, numerical experiments, including application to an output feedback stabilization problem, show the effectiveness of the algorithm.
Year
DOI
Venue
2006
10.1016/j.automatica.2006.05.026
Automatica
Keywords
Field
DocType
Linear matrix inequalities,Rank constraints,Computational methods,Output feedback,Stabilization,Robust control,Polynomial constraints
Rank (linear algebra),Linear equation,Mathematical optimization,Polynomial,Matrix (mathematics),Rate of convergence,Gaussian elimination,Mathematics,Newton's method,Constrained optimization
Journal
Volume
Issue
ISSN
42
11
Automatica
Citations 
PageRank 
References 
63
10.05
10
Authors
3
Name
Order
Citations
PageRank
Robert Orsi111315.23
Uwe Helmke233742.53
JOHN B. MOORE341284.61