【摘要】 研究线性时不变广义系统稳定性问题·通过计算一系列球的界限 ,给出广义系统稳定等价于所有特征值的齐次坐标包含于两个六棱柱内·进一步给出广义系统稳定 ,无脉冲的充要条件为所有的特征值的齐次坐标包含于一个六棱柱内·利用矩阵不等式理论 ,给出广义系统稳定 ,无脉冲等价于矩阵不等式有正定解·最后一个数值例子说明本文的主要结果更多还原

【Abstract】 The problem of stability was investigated for the time invariant descriptor systems. By computing the bound of that spheres,the stability of the descriptor system is equivalent to that all eigenvalues belong to two hexagonal prisms. Further,all eigenvalues belong to one hexagonal prism is the necessary and sufficient condition for the stability and impulse free of the descriptor system. By linear matrix inequilities method, matrix inequilities with positive definite solution can be obtained when the descriptor system is stable and impulse free.更多还原