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 。
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.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2002年第7期624-627,共4页
Journal of Northeastern University(Natural Science)
基金
教育部骨干教师基金资助项目
关键词
广义系统
稳定性
六边形
六棱柱
无脉冲
descriptor systems
stability
hexagon
hexagonal prism
impulse free
