Global fixed time Lyapunov stability analysis method

The invention discloses a global fixed time Lyapunov stability analysis method. The global fixed time Lyapunov stability analysis method comprises the following steps: S1, firstly providing a mathematical model of a general nonlinear system suitable for the method; s2, constructing a Lyapunov function which meets specific conditions and is used for judging the convergence performance of the system; s3, convergence time estimation is carried out on three different conditions of a parameter delta in conditions met by the Lyapunov function; different from convergence time estimation in the traditional fixed time Lyapunov stability theory, the global fixed time Lyapunov stability analysis method provided by the invention has less conservative property on convergence time estimation. 本发明公开了一种全局固定时间Lyapunov稳定性分析方法，包括以下步骤：S1、首先给出了本方法所适用的一般的非线性系统的数学模型；S2、构造了满足特定条件、用于判断系统收敛性能的Lyapunov函数；S3、针对Lyapunov函数所满足的条件中参数Δ的三种不同情况分别进行了收敛时间的估计；与传统的固定时间Lyapunov稳定性理论中的收敛时间估计不同，本发明所提出的全局固定时间Lyapunov稳定性分析方法对于收敛时间的估计具有更少的保守性。