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Mathematical Object

Lyapunov Function

Dynamical Systems and Differential Equations

In the theory of ordinary differential equations, Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions used to prove the stability of an equilibrium of an ODE. They are important to the stability theory of dynamical systems and to control theory, and a related concept appears in the theory of general state-space Markov chains under the name Foster-Lyapunov functions. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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Function 1
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Source Lyapunov Function (Wikipedia)

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Functions, Concepts

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Lyapunov Function (Wikipedia)
In Branch: Differential Equations, Lead sentence
Quote, In Branch: Differential Equations, Lead sentence
In the theory of ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions
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