Robust forms for passive descriptor systems

Peter Benner; Anshul Prajapati; Paul Van Dooren

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arXiv · 2609.39465

Robust forms for passive descriptor systems

Peter Benner·Anshul Prajapati·Paul Van Dooren

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Abstract

We show how to compute the passivity radius of a given generalized state-space model of a rational transfer function that represents a passive system, both in the continuous-time and discrete-time cases. We then use this to construct robust descriptor realizations. For the continuous-time case, these realizations have a port-Hamiltonian descriptor form. For the discrete-time case a similar result holds for the so-called normalized realizations. The computation of such robust realizations is linked in both these cases to a particular solution of a linear matrix inequality that characterizes the passivity of the transfer function.

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Peter Benner, Anshul Prajapati, Paul Van Dooren. 2026-09-30. Robust forms for passive descriptor systems. https://arxiv.org/abs/2609.39465

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