### Optimization and Systems Theory Seminar

Friday, March 21, 2003, 11.00-12.00, Room 3721, Lindstedtsvägen 25

**Henrik Sandberg**

Department of Automatic Control

Lund Institute of Technology

Lund, Sweden

E-mail: henriks@control.lth.se

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Balanced truncation of linear time-varying systems

Balanced truncation is a well-known model reduction technique for
linear time-invariant systems. In this talk we will see that many of
the attractive properties of balanced truncation can be generalized
and hold for linear time-varying systems. For example, a truncated
input-output stable system is input-output stable, and a priori
worst-case bounds on the approximation error exist. We will illustrate
the method on a model of a diesel exhaust catalyst.

Calendar of seminars

*Last update: March 10, 2003 by
Anders Forsgren,
anders.forsgren@math.kth.se.
*