Pontryagin's maximum principle

URI: https://gptkb.org/entity/Pontryagin's_maximum_principle
GPTKB entity
Statements (35)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo control systems
dynamical systems
problems with constraints
gptkbp:describes necessary conditions for optimality
gptkbp:field gptkb:optimal_control_theory
gptkbp:formedBy gptkb:Lev_Pontryagin
gptkb:E._F._Mishchenko
gptkb:R._V._Gamkrelidze
gptkb:Vladimir_Boltyansky
gptkbp:generalizes gptkb:classical_calculus_of_variations
https://www.w3.org/2000/01/rdf-schema#label Pontryagin's maximum principle
gptkbp:involves Hamiltonian function
adjoint variables
control variables
state equations
transversality conditions
gptkbp:language gptkb:mathematics
gptkbp:namedAfter gptkb:Lev_Pontryagin
gptkbp:provides conditions for optimal control
gptkbp:publicationYear 1956
gptkbp:publishedIn gptkb:The_Mathematical_Theory_of_Optimal_Processes
gptkbp:relatedTo gptkb:Euler–Lagrange_equation
gptkb:Hamiltonian_mechanics
gptkb:Bellman's_principle_of_optimality
calculus of variations
gptkbp:usedIn aerospace
economics
engineering
finance
robotics
gptkbp:bfsParent gptkb:Mathematical_Theory_of_Optimal_Processes
gptkb:optimal_control_theory
gptkb:Calculus_of_Variations
gptkbp:bfsLayer 6