论文标题
仿射系统，光谱特性和投影空间的控制集
Control Sets for Affine Systems, Spectral Properties and Projective Spaces
论文作者
论文摘要
对于具有界面控制范围的仿射控制系统，使用光谱属性研究了控制集的控制集，即完全近似可控性的最大子集。对于双曲系统，有一个独特的控制集，具有非流体内部，并且是有界的。对于非输液系统，这些控制集是无限的。在适当的状态空间中，有一个独特的链控制集，并确定了与控制系统的同质部分的关系。
For affine control systems with bounded control range the control sets, i.e., the maximal subsets of complete approximate controllability, are studied using spectral properties. For hyperbolic systems there is a unique control set with nonvoid interior and it is bounded. For nonhyperbolic systems, these control sets are unbounded. In an appropriate compactification of the state space there is a unique chain control set and the relations to the homogenous part of the control system are worked out.
