# Structure-Preserving Linear Quadratic Gaussian Balanced Truncation for Port-Hamiltonian Descriptor Systems

@article{Breiten2021StructurePreservingLQ, title={Structure-Preserving Linear Quadratic Gaussian Balanced Truncation for Port-Hamiltonian Descriptor Systems}, author={Tobias Breiten and Philipp Schulze}, journal={ArXiv}, year={2021}, volume={abs/2111.05065} }

We present a new balancing-based structure-preserving model reduction technique for linear port-Hamiltonian descriptor systems. The proposed method relies on a modification of a set of two dual generalized algebraic Riccati equations that arise in the context of linear quadratic Gaussian balanced truncation for differential algebraic systems. We derive an a priori error bound with respect to a right coprime factorization of the underlying transfer function thereby allowing for an estimate with…

## 2 Citations

Structure preserving model order reduction of port-Hamiltonian systems

- Mathematics
- 2022

This work proposes a structure-preserving model reduction method for linear, time-invariant port-Hamiltonian systems. We show that a low order system of the same type can be constructed which…

The difference between port-Hamiltonian, passive and positive real descriptor systems

- Mathematics
- 2022

The relation between passive and positive real systems has been extensively studied in the literature. In this paper, we study their connection to the more recently used notion of port-Hamiltonian…

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