--- tags: --- Stability Analysis === <style> .ph { display : block; margin-left : auto ; margin-right: auto;} </style> ## 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
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