Ordinary differential equations Stability Concept
Lyapunov function
Summary
A Lyapunov function for an equilibrium of a differential equation is a scalar function with three properties. It is zero at the equilibrium, positive away from it, and non-increasing along solutions. Its existence proves stability without solving the equation. It is named after Aleksandr Lyapunov. See the definition.
Where this leads
2 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Lyapunov_function, lead section
About this page
| Tag | 01REYCJ371 |
|---|---|
| URI | m2://01REYCJ371 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 34D20 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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