Computer Science NASC Seminar

**held at 11:30am** System-Theoretic Model Reduction for Nonlinear Systems

Peter Benner, Max Planck Institute, Magdeburg

April 26, 2013 11:30AM
Warren Weaver Hall, Room 1302
251 Mercer Street
New York, NY, 10012-1110
(Directions)

Spring 2013 NASC Seminars Calendar

Synopsis

We discuss Krylov-subspace based model reduction techniques for
nonlinear control systems. Since reduction procedures of existent
approaches like TPWL and POD methods require simulation of the
original system and are therefore dependent on the chosen input
function, models that are subject to variable excitations might not be
sufficiently approximated. We will overcome this problem by
generalizing Krylov-subspace methods known from linear systems to a
more general class of bilinear and quadratic-bilinear systems,
respectively. As has recently been shown, a lot of nonlinear dynamics
can be represented by the latter systems. We will explain advantages
and disadvantages of the different approaches and illustrate their
behavior for several benchmark examples from the literature.

This is joint work with Tobias Breiten (MPI Magdeburg).


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