Professor Danny C. Sorensen
Houston, Texas, USA
(Visiting professor at KTH during the spring of 1999.)
Computational cost motivates the development of reduced order models which accurately approximate the response y of the full system for a given input u. We shall survey various Krylov subspace projection techniques and discuss connections between the Lanczos algorithm and classic moment theory. We shall also discuss approches to obtaining partial balanced realizations (or reduced models). This approach has the potential to provide two important features that are usually lacking in existing model reduction schemes.
Rigorous bounds on the H-infinity norm of the difference between the full order system and the reduced order system in terms of the Hankel singular values neglected by the reduced order system.
Straightforward extension from single input single output (SISO) to to multiple input multiple output (MIMO) systems.