关键词: 广义系统, Hamilton矩阵, H\-2代数Riccati方程, 稳定化解.

Abstract:

Hamilton matrix and \$H\-2\$ algebraic Riccati equations for linear continuoustime descriptor systems are studied. A standard singular \$H\-2\$ algebraic Riccati equation and its associated Hamilton matrix are presented. Some important properties of the Hamilton matrix are given. Furthermore, a sufficient condition such that the stabilizing solutions of the equations exist is obtained and the solutions algorithm is given. This condition is of generality. The main theorems are the extension of some results of normal systems.