Mathematical Theory of Optimal Processes
E681631
Mathematical Theory of Optimal Processes is a foundational work in control theory that systematically develops the mathematical principles of optimal control, including what is now known as Pontryagin’s maximum principle.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Mathematical Theory of Optimal Processes canonical | 1 |
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
monograph ⓘ |
| author |
E. F. Mishchenko
NERFINISHED
ⓘ
Lev Pontryagin NERFINISHED ⓘ R. V. Gamkrelidze NERFINISHED ⓘ Vladimir Boltyanskii NERFINISHED ⓘ |
| contribution |
development of adjoint variable method in control
ⓘ
formalization of Pontryagin maximum principle ⓘ introduction of Hamiltonian approach to optimal control ⓘ rigorous mathematical framework for control processes ⓘ systematic treatment of optimal control problems ⓘ |
| countryOfOrigin | Soviet Union ⓘ |
| field |
applied mathematics
ⓘ
control theory ⓘ optimal control theory ⓘ |
| focus |
continuous-time control systems
ⓘ
deterministic control problems ⓘ |
| hasKeyConcept |
control variable
ⓘ
optimal trajectory ⓘ performance index ⓘ state variable ⓘ |
| influenced |
aerospace trajectory optimization
ⓘ
economic control models ⓘ engineering control design ⓘ modern optimal control theory ⓘ |
| mathematicalDiscipline |
calculus of variations
ⓘ
differential equations ⓘ functional analysis ⓘ |
| originalLanguage | Russian ⓘ |
| publicationYear | 1961 ⓘ |
| publishedInLanguage | English ⓘ |
| recognizedAs |
classic text in control theory
ⓘ
foundational work in optimal control ⓘ |
| topic |
Hamiltonian formalism in control
ⓘ
Pontryagin maximum principle NERFINISHED ⓘ adjoint equations ⓘ bang-bang control ⓘ control constraints ⓘ dynamic optimization ⓘ necessary conditions for optimality ⓘ optimal control problems ⓘ state constraints ⓘ time-optimal control ⓘ trajectory optimization ⓘ variational methods ⓘ |
| usedIn |
graduate education in control theory
ⓘ
research on optimal control ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Mathematical Theory of Optimal Processes Description of subject: Mathematical Theory of Optimal Processes is a foundational work in control theory that systematically develops the mathematical principles of optimal control, including what is now known as Pontryagin’s maximum principle.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.