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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| $$ \dot x_1 &= x_2 \\ \dot x_2 &= -x_1$$
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Revision as of 05:36, 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 Failed to parse (syntax error): {\displaystyle \dot x_1 &= x_2 \\ \dot x_2 &= -x_1 }
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 $x_\text{e}$.