MAT 290-82 (CRN 60277): Model reduction and inverse problem
Thursday 1:40-3:00am, 693 Kerr Hall
Pre-requisite
Elementary knowledge of
differential equations.
Research articles
Moore:
IEEE Transaction on Automatic Control (1981).
K. Glover:
All optimal Hankel-norm approximations of linear
multivariable systems and their L infinity-error bounds
Int. J. Control 39:6 (1984), 1115-1193.
Jonckheere and Silverman
A new set of invariants for linear systems--application
to reduced order copensator design
IEEE Transactions on Automatic Controls 28:10 (1983), 953.
J.M.A. Scherpen
Balancing for nonlinear systems
Systems and Control Letters 1993.
S. Lall, J. E. Marsden and S. Glavaski
A subspace approach to balanced truncation
for model reduction of nonlinear control systems
Int. J. Robust and Nonlinear Control 12 (2002), 519-535.
M. Cheney
The linear sampling method and the MUSIC algorithm
Inverse Problems 17 No 4 (August 2001) 591-595.
C. Prada and J.-L. Thomas:
Experimental subwavelength localization of scatterers by decomposition of the time reversal operator interpreted as a covariance matrix
J. Acoust. Soc. Am. 114, 235 (2003)
Joel R. Phillips:
"Variational Interconnect Analysis via PMTBR"
Credits: 1-3 units
Students who make presentation
can earn three units.