4 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…