Phrase guide

Hamilton-Jacobi-Bellman equation

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 1

A nonlinear partial differential equation that provides necessary and sufficient conditions for optimality of a control with respect to a loss function.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: HJB equation

Antonyms: none provided

History

Etymology

Named after William Rowan Hamilton, Carl Gustav Jacob Jacobi, and Richard E. Bellman.