李雅普诺夫直接法的几何思想与应用

Lyapunov's Direct Method and Its Applications in Geometry

李雅普诺夫直接法是整个稳定性理论的核心方法,其几何思想是借助于一个V函数,利用方程右端的信息来探测解的稳定性的原始几何思想。主要阐述了稳定性定理、渐近稳定性定理及不稳定性定理的应用。

Lyapunov＇ s direct method is the core of the whole stability theory, which is used to explore the stability of the solution in geometry, making use of the information from the right part of the equation with the help of function V. The thesis is mainly on the application of stability, asymptotic stability and non - stability.