Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems
arXiv:2605.1389138.2
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Provides theoretical guarantees for stability margins in a specific class of systems, relevant to control theory and numerical analysis.
The paper characterizes robust asymptotic stability for dissipative Hamiltonian differential-algebraic systems and derives exact conditions and bounds for stability loss under structure-preserving perturbations.
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.