Intersection Theory on Configuration Spaces and its Applications-II
Intersection Theory on Configuration Spaces and its Applications-II
复制标题
配置空间的交集理论及其应用-II
DOI：
10.5687/iscie.16.11
复制
发表时间：
2003
影响因子：
1.8
通讯作者：
M. Shima
中科院分区：
文献类型：
--
作者：
Ryuji Enomoto;M. Shima
We study global control problems for time-independent nonlinear state equations from a view point of an intersection theory on “configuration spaces of control systems”. Singularities of a feedback controlled system appear as the intersection of the null set of a state equation and an input manifold that is a geometrization of a feedback control law. We decompose the null set of the state equation into the null manifold, the degenerated null manifold and the set of critical points in relation to a feature of singularities of feedback controlled systems. We also discuss generic properties of control laws in the case that the controlled system has only simple or hyperbolic singularities.
