EMOSC 25: Energy-based modeling, simulation, and control of dynamical systems - Workshop in honor of Volker Mehrmann’s 70th birthday

Invariant subspace perturbations of Hamiltonian matrices with defective imaginary eigenvalues

27 May 2025, 16:30

30m

H2036 (TU Berlin)

Talk Talks

Speaker

Hongguo Xu (University of Kansas)

Description

We show how invariant subspaces will change when a defective matrix is perturbed. We focus on the case when an invariant subspace corresponding to the same size Jordan blocks of a single eigenvalue is perturbed. The perturbations are characterized in terms of fractional orders. As an application, we study a class of Hamiltonian matrices that are related to Riccati inequalities. We show how the purely imaginary eigenvalues and their invariant subspaces are perturbed under certain structured perturbations.