Modified balanced truncation preserving ellipsoidal cone-invariance

C Grussler, A Rantzer - 53rd IEEE conference on decision and …, 2014 - ieeexplore.ieee.org
53rd IEEE conference on decision and control, 2014ieeexplore.ieee.org
We consider model order reduction of stable linear systems which leave ellipsoidal cones
invariant. We show how balanced truncation can be modified to preserve cone-invariance.
Additionally, this implies a method to perform external positivity preserving model reduction
for a large class of systems.
We consider model order reduction of stable linear systems which leave ellipsoidal cones invariant. We show how balanced truncation can be modified to preserve cone-invariance. Additionally, this implies a method to perform external positivity preserving model reduction for a large class of systems.
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