DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:** Serkan Gugercin, Virginia Tech

**Title: ***
Model reduction: A systems-theoretic perspective
*

**Abstract:**
Numerical simulation of large-scale dynamical systems plays a crucial
role in studying a great variety of complex physical phenomena.
However, simulations in these large-scale settings present significant
computational difficulties.
Model reduction aims to resolve this computational burden by
constructing simpler (reduced order) models, which are much easier and
faster to simulate and
yet accurately represent the original system. These simpler reduced
order models can then serve as efficient surrogates for the original,
replacing them, for example, in optimal control and design.
In this talk, we will focus on systems theoretical methods for model
reduction, with a special emphasis on interpolatory methods based on
rational approximation.
After reviewing the concept
of interpolation in the setting of dynamical systems, we will discuss
how to construct optimal interpolants.
If time allows, we will also describe recent extensions to nonlinear
dynamics.
We will use various examples to illustrate the theoretical discussion.

**Time:** Friday, March 22, 2019, 1:30-2:30pm

**Place:** Exploratory Hall, Room 4106

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491