42 citations · 67 across the 4 of their papers we have counts for
5 papers
Eigenstructure perturbations for a class of Hamiltonian matrices and solutions of related Riccati inequalities
Volker Mehrmann, Hongguo Xu
The characterization of the solution set for a class of algebraic Riccati inequalities is studied. This class arises in the passivity analysis of linear time invariant control syst…
Invariant subspace perturbation of a matrix with Jordan blocks
Hongguo Xu
We investigate how invariant subspaces corresponding to a single eigenvalue will change when a matrix is perturbed. We focus on the invariant subspaces corresponding to an eigenval…
Port-Hamiltonian Realizations of Nonminimal Linear Time Invariant Systems
Christopher Beattie, Volker Mehrmann, Hongguo Xu
Numerical methods for developing port-Hamiltonian representations of general linear time-invariant systems are studied. The approach extends previous port-Hamiltonian characterizat…
Port-Hamiltonian descriptor systems
Christopher Beattie, Volker Mehrmann, Hongguo Xu +1
The modeling framework of port-Hamiltonian systems is systematically extended to constrained dynamical systems (descriptor systems, differential-algebraic equations). A new algebra…
Conditioning of Finite Element Equations with Arbitrary Anisotropic Meshes
Lennard Kamenski, Weizhang Huang, Hongguo Xu
Bounds are developed for the condition number of the linear finite element equations of an anisotropic diffusion problem with arbitrary meshes. They depend on three factors. The fi…