Balancing for nonlinear systems
J.M.A. Scherpen, Syst. & Contr. Let.,
21 (1993) 143-153.
Abstract:
We present a method of balancing for nonlinear systems which is an
extension of balancing for linear systems in the sense that it is based on the
input and output energy of a system. It is a local result, but gives `broader'
results then we obtain by just linearizing the system.
Furthermore the relation with balancing of the linearization is dealt with. We propose to use
the method as a tool for nonlinear model reduction and investigate some of the
properties of the reduced system.
Keywords: balancing, nonlinear systems, Hamilton-Jacobi equations, Hankel singular values,
model reduction.
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