Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems
Dynamical Systems
2026-05-15 v1 Numerical Analysis
Numerical Analysis
Optimization and Control
Abstract
We study linear time-invariant dissipative Hamiltonian differential-algebraic systems. We characterize when the systems are robustly asymptotically stable and derive exact conditions and bounds when this property is lost under structure-preserving perturbations.
Keywords
Cite
@article{arxiv.2605.13891,
title = {Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems},
author = {Peter Benner and Volker Mehrmann and Anshul Prajapati and Punit Sharma},
journal= {arXiv preprint arXiv:2605.13891},
year = {2026}
}