Möckel, JensReis, TimoStykel, Tatjana2021-12-172021-12-172011-02-062197-8085https://depositonce.tu-berlin.de/handle/11303/15729http://dx.doi.org/10.14279/depositonce-14502We generalize the model reduction method of linear-quadratic Gaussian balanced truncation to linear time-invariant systems governed by differential-algebraic equations. The presented method relies on the solution of generalized algebraic Riccati equations. A simple a priori error bound in the gap metric is given.en510 Mathematikmodel reductiondescriptor systemsbalanced truncationgeneralized algebraic Riccati equationsgap metricnormalized coprime factorizationResearch Paper