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.

翻译：研究了一类代数Riccati不等式解集的刻画问题。该类不等式源于线性时不变控制系统的无源性分析。利用与Riccati不等式相关的哈密顿矩阵的特征值扰动理论，分析了该解集的极值点。