Figure 5.7: Phase portrait and time domain simulation for a system with a single stable equilibrium point

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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 (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\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 $x_\text{e}$.