摘要
用现代微分几何方法研究了双线性控制系统的解耦线性化问题,给出了一般双线性系统解耦线性化的充分条件及严格双线性系统解耦线性化的充要条件,并举例说明了本文的结论.
In this paper, we discussed the linearization and simultaneous decoupling of bilinear system by differential geometric method. A sufficient condition for bilinear system and a necessary and sufficient condition for strict bilinear system were. Then, some examples were given for explanation.
出处
《纯粹数学与应用数学》
CSCD
1995年第2期21-28,共8页
Pure and Applied Mathematics
关键词
双线性系统
解耦线性化
微分同胚
控制系统
bilinear system
decomposition linearization
diffeomorphism
Lie bracket