Lyapunovstöðugleiki
Lyapunovstöðugleiki, often translated as Lyapunov stability, is a fundamental concept in the mathematical theory of dynamical systems. It describes the behavior of a system near an equilibrium point. An equilibrium point is a state where the system remains unchanged over time. Lyapunov stability is concerned with whether small perturbations from this equilibrium point will cause the system to return to it, stay close to it, or diverge away from it.
There are several types of Lyapunov stability. A common definition is that an equilibrium point is stable
A stronger condition is asymptotic stability. An equilibrium point is asymptotically stable if it is stable
A related concept is exponential stability, which is a more stringent form of asymptotic stability. An equilibrium
Lyapunov's direct method, developed by Aleksandr Lyapunov, provides a way to analyze the stability of an equilibrium