Content deleted Content added
→Stable equilibrium: no reason not to use his whole name? |
m added no footnotes template |
||
Line 1:
{{Short description|Concept in the analysis of dynamical systems}}{{No footnotes|date=October 2023}}
In the theory of [[ordinary differential equations]] (ODEs), '''Lyapunov functions''', named after [[Aleksandr Lyapunov]], are scalar functions that may be used to prove the stability of an [[equilibrium point|equilibrium]] of an ODE. Lyapunov functions (also called Lyapunov’s second method for stability) are important to [[stability theory]] of [[dynamical system]]s and [[control theory]]. A similar concept appears in the theory of general state space [[Markov chain]]s, usually under the name Foster–Lyapunov functions.
| |||