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math.OC2023
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…
math.NA2023
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…