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

	${\begin{aligned}{\dot {x}}_{1}&=x_{2}\\{\dot {x}}_{2}&=-x_{1}\end{aligned}}$

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 $x_\text{e}$.