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- Hamilton–Jacobi–Bellman_equation abstract "The Hamilton–Jacobi–Bellman (HJB) equation is a partial differential equation which is central to optimal control theory. The solution of the HJB equation is the 'value function' which gives the minimum cost for a given dynamical system with an associated cost function.When solved locally, the HJB is a necessary condition, but when solved over the whole of state space, the HJB equation is a necessary and sufficient condition for an optimum. The solution is open loop, but it also permits the solution of the closed loop problem. The HJB method can be generalized to stochastic systems as well.Classical variational problems, for example the brachistochrone problem, can be solved using this method.The equation is a result of the theory of dynamic programming which was pioneered in the 1950s by Richard Bellman and coworkers. The corresponding discrete-time equation is usually referred to as the Bellman equation. In continuous time, the result can be seen as an extension of earlier work in classical physics on the Hamilton–Jacobi equation by William Rowan Hamilton and Carl Gustav Jacob Jacobi.".
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- Hamilton–Jacobi–Bellman_equation wikiPageRevisionID "679162714".
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Andrei_Izmailovich_Subbotin.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Backward_induction.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Bellman_equation.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Brachistochrone_curve.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Brachistochrone_problem.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Carl_Gustav_Jacob_Jacobi.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Category:Dynamic_programming.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Category:Optimal_control.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Category:Partial_differential_equations.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Category:Stochastic_control.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Classical_physics.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Dot_product.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Dynamic_programming.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Dynamical_system.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Gradient.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Hamilton–Jacobi_equation.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Itô_calculus.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Itō_calculus.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Linear-quadratic-Gaussian_control.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Mertons_portfolio_problem.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Michael_G._Crandall.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Minimax.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Minimax_solution.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Necessary_and_sufficient_condition.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Necessity_and_sufficiency.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Optimal_control.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Partial_differential_equation.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Pierre-Louis_Lions.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Pontryagins_maximum_principle.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Pontryagins_minimum_principle.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Principle_of_optimality.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Riccati_equation.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Richard_Bellman.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Richard_E._Bellman.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Stochastic.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Taylor_expansion.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Taylor_series.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Value_function.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink Viscosity_solution.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLink William_Rowan_Hamilton.
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLinkText "Bellman's Dynamic Programming".
- Hamilton–Jacobi–Bellman_equation wikiPageWikiLinkText "Hamilton–Jacobi–Bellman equation".
- Hamilton–Jacobi–Bellman_equation hasPhotoCollection Hamilton–Jacobi–Bellman_equation.
- Hamilton–Jacobi–Bellman_equation wikiPageUsesTemplate Template:Cite_book.
- Hamilton–Jacobi–Bellman_equation wikiPageUsesTemplate Template:Cite_journal.
- Hamilton–Jacobi–Bellman_equation wikiPageUsesTemplate Template:More_footnotes.
- Hamilton–Jacobi–Bellman_equation wikiPageUsesTemplate Template:Reflist.
- Hamilton–Jacobi–Bellman_equation subject Category:Dynamic_programming.
- Hamilton–Jacobi–Bellman_equation subject Category:Optimal_control.
- Hamilton–Jacobi–Bellman_equation subject Category:Partial_differential_equations.
- Hamilton–Jacobi–Bellman_equation subject Category:Stochastic_control.
- Hamilton–Jacobi–Bellman_equation comment "The Hamilton–Jacobi–Bellman (HJB) equation is a partial differential equation which is central to optimal control theory. The solution of the HJB equation is the 'value function' which gives the minimum cost for a given dynamical system with an associated cost function.When solved locally, the HJB is a necessary condition, but when solved over the whole of state space, the HJB equation is a necessary and sufficient condition for an optimum.".
- Hamilton–Jacobi–Bellman_equation label "Hamilton–Jacobi–Bellman equation".
- Hamilton–Jacobi–Bellman_equation sameAs Ecuación_de_Hamilton-Jacobi-Bellman.
- Hamilton–Jacobi–Bellman_equation sameAs m.036fbw.
- Hamilton–Jacobi–Bellman_equation sameAs Уравнение_Гамильтона_—_Якоби_—_Беллмана.
- Hamilton–Jacobi–Bellman_equation sameAs Ekuacioni_Hamilton-Jakobi-Belman.
- Hamilton–Jacobi–Bellman_equation sameAs Q3302775.
- Hamilton–Jacobi–Bellman_equation sameAs Q3302775.
- Hamilton–Jacobi–Bellman_equation sameAs 哈密顿-雅可比-贝尔曼方程.
- Hamilton–Jacobi–Bellman_equation wasDerivedFrom Hamilton–Jacobi–Bellman_equation?oldid=679162714.
- Hamilton–Jacobi–Bellman_equation isPrimaryTopicOf Hamilton–Jacobi–Bellman_equation.