4 papers
Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems
Peter Benner, Volker Mehrmann, Anshul Prajapati +1
We study linear time-invariant dissipative Hamiltonian differential-algebraic systems. We characterize when the systems are robustly asymptotically stable and derive exact conditio…
Structured eigenvalue backward errors of Rosenbrock systems and related -value problems
Anshul Prajapati, Punit Sharma
In this paper, we compute the structured eigenvalue backward error of a Rosenbrock system matrix for a given…
Computation of structured stability radii for Dissipative-Hamiltonian systems
Peter Benner, Volker Mehrmann, Anshul Prajapati +1
We study linear time-invariant Dissipative Hamiltonian (DH) systems arising in energy-based modeling of dynamical systems. An advantage of DH systems is that they are always stable…
On structured condition number of rational matrix functions
Ritwik Prabin Kalita, Anshul Prajapati, Punit Sharma
We derive the necessary and sufficient conditions for the simple eigenvalues of rational matrix functions with symmetry structure to have the same normwise condition number with re…