---
tag: 0NB689782W
kind: concept
name: Asymptotic stability
msc: [34D20]
sources:
  - url: https://en.wikipedia.org/wiki/Lyapunov_stability
    locator: lead section
---

## Summary

An equilibrium point is asymptotically stable if it is Lyapunov stable and nearby solutions converge to it as time tends to infinity.
See the [[definition|05Y1JAM3Y5]].