近年来,微分几何方法作为一种新的工具,被引入控制系统特别是非线性控制系统的研究中,并得到很大发展,正如Isidori在中所说:“近10年来,微分几何方法对于非线性系统的研究证明是成功的,这就象50年代研究单输入单输出线性系统所用的拉氏变换及复变函数,60年代研究多变量线性系统用线性代数那样”。 因此,从某种意义上说,微分几何方法的引入,标志着控制理论发展的一个新阶段。 In recent years, as a new tool, the differential geometry method has been introduced into the research of control systems, especially non-linear control systems, and has been greatly developed. As Isidori said in the article: "In the past 10 years, The systematic study proved to be successful, as was the Laplace transform and complex function used in the 1950s to study single-input, single-output linear systems, and the linear algebra for multivariable linear systems in the 1960s. Therefore, in a sense, the introduction of the differential geometry method marks a new stage in the development of control theory.