Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems

TL;DR

This paper analyzes the stability of dissipative Hamiltonian differential-algebraic systems, providing conditions and bounds for their robustness against structure-preserving perturbations.

Contribution

It offers a characterization of stability radii and conditions for robustness in a class of Hamiltonian differential-algebraic systems.

Findings

Derived exact conditions for stability loss.

Established bounds on stability radii.

Characterized robustness under structure-preserving perturbations.

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.