Eigenstructure perturbations for a class of Hamiltonian matrices and solutions of related Riccati inequalities

2023/11/23 by Volker Mehrmann, Mehrmann, Volker, Hongguo Xu +1 · 1 citation
Computer Science · Engineering · #65F15 #65H10 #93D15 #Control and Stability of Dynamical Systems #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems

paper · pdf · doi:10.48550/arxiv.2311.14202

openalex publication_date 2023/11/23 · openalex created_date 2023/11/28 · openalex updated_date 2026/07/28

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.

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