【摘要】 研究线性连续广义系统的 Hamilton矩阵及 H2 代数 Riccati方程 .提出一个标准的广义H2 代数 Riccati方程及对应的 Hamilton矩阵 ,给出该 Hamilton矩阵的几个重要性质 .在此基础上 ,得到该广义 H2 代数 Riccati方程的稳定化解存在的一个充分条件并给出求解方法 .此条件具有一般性 ,主要定理是正常系统相应结果的推广 .更多还原

【Abstract】 Hamilton matrix and $H-2$ algebraic Riccati equations for linear continuous- t ime descriptor systems are studied. A standard singular $H-2$ algebraic Ricca ti equation and its associated Hamilton matrix are presented. Some important pro perties of the Hamilton matrix are given. Furthermore, a sufficient condition su ch that the stabilizing solutions of the equations exist is obtained and the sol utions algorithm is given. This condition is of generality. The main theorems ar e the extension of some results of normal systems.更多还原