Eigenstructure perturbations for a class of Hamiltonian matrices and solutions of related Riccati inequalities
arXiv:2311.14202
Abstract
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 systems. Eigenvalue perturbation theory for the Hamiltonian matrix associated with the Riccati inequality is used to analyze the extremal points of the solution set.