论文标题
谎言组仿射控制系统的一般解决方案
The General Solution for Affine Control Systems on Lie Groups
论文作者
论文摘要
本文的目的是在假设与线性矢量场相关的自动形态上的假设下，明确介绍Lie组仿射控制系统的解决方案曲线。如果我们假设与线性向量场相关的派生是内部的，则获得更简单的解决方案，并显示一些可控性结果。最后，我们通过仿射系统之间的谎言群体的同态性结合。
The purpose of this paper is to present explicitly the solution curve for affine control systems on Lie groups under the assumption that automorphisms associated to the linear vector fields commutes. If we assume that the derivations associated to linear vector fields are inner, we obtain a simpler solution and we show some results of controllability. To end, we work with conjugation by homomorphism of Lie groups between affine systems.
