Stability, H-Infinity Optimization, and Controllability
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HIFOO - A MATLAB package for fixed-order
controller design and H-infinity optimization,
with Didier Henrion, Adrian S. Lewis, and Michael L. Overton,
in the proceedings of
the International Federation
of Automatic Control
Conference on Robust Control Design, Toulouse, July 2006.
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Pseudospectral components and distance to controllability,
with Michael Overton
and Adrian Lewis,
SIAM J. Matrix Anal. Appl., 26(2004) 350-361.
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A Nonsmooth, Nonconvex Optimization Approach to Robust Stabilization by
Static Output Feedback and Low-Order Controllers,
with Michael Overton
and Adrian Lewis, Proceedings of
the International Federation of Automatic Control, Milan, June,
2003, Conference on Robust Control Design.
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Robust stability and a criss-cross algorithm for pseudospectra,
with Adrian Lewis and Michael Overton,
IMA J Num Anal, 23(2003), 359--375.
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Optimization and Pseudospectra, with applications to robust stability,
with Adrian Lewis and Michael Overton,
SIAM Journal on Matrix Analysis and Applications, 25(2003),
80--104.
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Optimizing matrix stability,
with Adrian Lewis and
Michael Overton,
Proc. of the American Math. Soc., 129(2001), 1635--1642.
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On the Lidskii--Vishik--Lyusternik perturbation theory
for eigenvalues of matrices with arbitrary Jordan structure,
with J. Moro and M. L. Overton, SIAM J. Matrix Anal. Appl.,
18 (1997), 793--817.
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Differential properties of the spectral abscissa and
the spectral radius for analytic matrix-valued mappings,
with M. L. Overton,
Journal of Nonlinear Analysis, Theory, Methods,
and Applications, 23(1994), 467--488.
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Stable perturbations of nonsymmetric matrices,
with M. L. Overton, Linear Algebra and Its Applications,
171(1992), 249--273.