Difference between revisions of "Figure 5.7: Phase portrait and time domain simulation for a system with a single stable equilibrium point"

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| rowspan=3 | [[Image:figure-5.7-stable_eqpt-pp.png]]  
 
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| <math> \dot x_1 &= x_2 \\ \dot x_2 &= -x_1 </math>
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| <math> \begin{aligned} \dot x_1 &= x_2 \\ \dot x_2 &= -x_1 \end{aligned} </math>
 
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| rowspan=2 | [[Image:figure-5.7-stable_eqpt-time.png]]  
 
| rowspan=2 | [[Image:figure-5.7-stable_eqpt-time.png]]  

Revision as of 05:37, 7 April 2024

Chapter Dynamic Behavior
Figure number 5.7
Figure title 5.7: Phase portrait and time domain simulation for a system with a single stable equilibrium point
GitHub URL https://github.com/murrayrm/fbs2e-python/blob/main/figure-5.7-stable-eqpt.py
Requires python-control
Figure-5.7-stable eqpt-pp.png
Figure-5.7-stable eqpt-time.png


Figure 5.7: Phase portrait and time domain simulation for a system with a single stable equilibrium point. The equilibrium point $x_\text{e}$ at the origin is stable since all trajectories that start near $x_\text{e}$ stay near $x_\text{e}$.