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

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

	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: 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 $x_\text{e}$.