Nonlinear Eigenvalue Characterization of Solutions to Differential Riccati Equations for Contraction Analysis

摘要

In this paper, we present a novel analysis method to the differential Riccati equation (DRE) for contraction analysis. Recently, concepts of nonlinear eigenvalues and eigenvectors are introduced. By using nonlinear eigenvectors of the differential Hamiltonian matrix, we characterize solutions to the DRE.