50.3DSMay 12
Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systemsPeter Benner, Volker Mehrmann, Anshul Prajapati et al.
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.