Figure 5.6: Illustration of Lyapunov’s concept of a stable solution

Chapter	Dynamic Behavior
Figure number	5.6
Figure title	Illustration of Lyapunov’s concept of a stable solution
GitHub URL	https://github.com/murrayrm/fbs2e-python/blob/main/figure-5-6-lyapunov stability.py
Requires	python-control

Figure 5.6: Illustration of Lyapunov’s concept of a stable solution. The solution represented by the solid line is stable if we can guarantee that all solutions remain within a tube of diameter ǫ by choosing initial conditions sufficiently close the solution.