A robust numerical method for the γ-iteration in H∞ control-Reference-Cited by-同舟云学术

A robust numerical method for the γ-iteration in H∞ control

Published:2007-09 Issue:2-3 Volume:425 Page:548-570
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Benner Peter,Byers Ralph,Mehrmann Volker,Xu Hongguo

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference55 articles.

1. Semidefinite programming duality and linear time-invariant systems;Balakrishnan;IEEE Trans. Automat. Control,2003

2. G. Balas, R. Chiang, A. Packard, M. Safonov, Robust Control Toolbox. For Use with Matlab. User’s Guide, Version 3. The MathWorks, Inc., 3 Apple Hill Drive, Natick, MA 01760, USA, 2005.

3. Computational methods for linear-quadratic optimization;Benner;Rend. Circ. Mat. Palermo (2),1999

4. Numerical methods for linear-quadratic and H∞ control problems;Benner,1999

5. Numerical computation of deflating subspaces of skew Hamiltonian/Hamiltonian pencils;Benner;SIAM J. Matrix Anal. Appl.,2002

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