Repeat Problem 19 for [begin{cases}dot{x}_{1}=x_{2}+2 sin t, & x_{1}(0)=1 dot{x}_{2}=x_{1}^{3}+3 x_{2}-1 & x_{2}(0)=0end{cases}] Data From Problem
Question:
Repeat Problem 19 for
\[\begin{cases}\dot{x}_{1}=x_{2}+2 \sin t, & x_{1}(0)=1 \\ \dot{x}_{2}=x_{1}^{3}+3 x_{2}-1 & x_{2}(0)=0\end{cases}\]
Data From Problem 19:
Derive the linearized model for the nonlinear system, described by \[\begin{cases}\dot{x}_{1}=x_{1}\left|x_{1}\right|+x_{2}-1+\sin t & x_{1}(0)=-1 \\ \dot{x}_{2}=-x_{1}-x_{2}-1 & x_{2}(0)=0\end{cases}\]
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Related Book For
Modeling And Analysis Of Dynamic Systems
ISBN: 9781138726420
3rd Edition
Authors: Ramin S. Esfandiari, Bei Lu
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