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title: Stability Analysis

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Stability Analysis
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## 1. Lyapunov Stability
<img src = https://i.imgur.com/CGITs3m.png class = "ph">

如果給定任何正數$ε$，都能找到一函數$\delta(ε)$>0使得在$t>0$ 時 $||X(0)||< \delta$ , $||X(t)||< ε$  則可稱原點 o 穩定。

## 2. Analysis of Nonlinear Systems
### Approach 1

在平衡點附近執行線性化