Title: Calculation of the structured singular value with gradient-based optimization algorithms on a Lie group of structured unitary matrices
Authors: Dehaene, Jeroen ×
Yi, C
De Moor, Bart #
Issue Date: Nov-1997
Publisher: Ieee-inst electrical electronics engineers inc
Series Title: IEEE Transactions on automatic control vol:42 issue:11 pages:1596-1600
Abstract: The structured singular value problem, which is a basic problem in robustness analysis and design of multivariable controllers, can be formulated as an optimization problem over the manifold of unitary matrices with a given structure. We show how geometric optimization methods, such as the steepest ascent method and the conjugate gradient method for optimization on a Riemannian manifold, lead to algorithms giving a guaranteed nontrivial lower bound for thr structured singular value.
ISSN: 0018-9286
Publication status: published
KU Leuven publication type: IT
Appears in Collections:ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
Tutorial services, Faculty of Engineering
× corresponding author
# (joint) last author

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