非线性系统=f(x)的稳定性分析

Stability Analysis for the Systems =f(x)

本文首先将非线性系统全局线性化,然后在张量空间中分析了其稳定性态,给出了原系统简洁的稳定性判据。作为应用,考虑了一类非线性控制系统的稳定性问题。

This paper studies the stability of the system =f(x), some simple criterion for stability is proved using the methods of global linearization and tensor space analysis. As an application, the stability of a class of nonlinear control system is considered.