• The Hamilton-Jacobi-Bellman (HJB) equation is a nonlinear partial differential equation that provides necessary and sufficient conditions for optimality...
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  • the HamiltonJacobiBellman equation from dynamic programming. The HamiltonJacobi equation is a first-order, non-linear partial differential equation −...
    44 KB (8,210 words) - 22:52, 28 May 2025
  • Thumbnail for Bellman equation
    optimization problems, the analogous equation is a partial differential equation that is called the HamiltonJacobiBellman equation. In discrete time any multi-stage...
    28 KB (3,990 words) - 17:00, 20 July 2025
  • Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...
    5 KB (103 words) - 09:21, 8 August 2024
  • the HamiltonJacobi equation by William Rowan Hamilton and Carl Gustav Jacob Jacobi. The curse of dimensionality is an expression coined by Bellman to...
    16 KB (1,586 words) - 02:55, 14 March 2025
  • decision process Dynamic programming Bellman equation for applications to economics. HamiltonJacobiBellman equation Optimal control Recursive economics...
    35 KB (5,169 words) - 20:19, 22 July 2025
  • a Croatian folk custom Bellman equation, a condition for optimality in dynamic programming HamiltonJacobiBellman equation, a condition for optimality...
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  • differential equations Broer–Kaup equations Burgers' equation Euler equations Fokker–Planck equation HamiltonJacobi equation, HamiltonJacobiBellman equation Heat...
    2 KB (157 words) - 18:19, 14 March 2022
  • Thumbnail for Dynamic programming
    Dynamic programming (category Equations)
    {u} (t),t\right)\right\}} a partial differential equation known as the HamiltonJacobiBellman equation, in which J x ∗ = ∂ J ∗ ∂ x = [ ∂ J ∗ ∂ x 1    ...
    59 KB (9,146 words) - 13:00, 28 July 2025
  • the shape for a solid propellant rocket grain HamiltonJacobiBellman equation HamiltonJacobi equation Fermat's principle The Oxford English Dictionary...
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  • remains optimal at intermediate points in time. The resulting HamiltonJacobiBellman equation provides a necessary and sufficient condition for an optimum...
    12 KB (1,645 words) - 17:18, 24 November 2023
  • Hamilton–JacobiBellman equation HamiltonJacobi–Einstein equation HamiltonJacobi–Isaacs equation Ivory–Jacobi formula Jacobi–Lie bracket Jacobi–Anger expansion...
    2 KB (187 words) - 18:01, 20 March 2022
  • the Hamilton-Jacobi-Bellman equation is the Bellman equation, and the discrete version of the Fokker-Planck equation is the Kolmogorov equation. Specifically...
    16 KB (2,421 words) - 07:03, 18 July 2025
  • Viscosity solution (category Partial differential equations)
    order equations arising in dynamic programming (the HamiltonJacobiBellman equation), differential games (the HamiltonJacobi–Isaacs equation) or front...
    16 KB (2,597 words) - 22:18, 18 July 2025
  • for convenience. V π {\displaystyle V^{\pi }} satisfies the Hamilton-Jacobi-Bellman Equation: V π ( s ) = E π { R 1 + γ V π ( S 1 ) | S 0 = s } , {\displaystyle...
    12 KB (1,565 words) - 00:29, 8 July 2025
  • Thumbnail for Constantin Carathéodory
    80–90. Bellman for his Dynamic programming in its continuous-time form used Carathéodory's work in the form of the HamiltonJacobiBellman equation. Kálmán...
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  • optimization Dynamic programming Bellman equation HamiltonJacobiBellman equation — continuous-time analogue of Bellman equation Backward induction — solving...
    70 KB (8,327 words) - 09:12, 7 June 2025
  • Thumbnail for Lawrence C. Evans
    Lawrence C. Evans (category Partial differential equation theorists)
    theory of viscosity solutions of nonlinear equations, to the understanding of the HamiltonJacobiBellman equation arising in stochastic optimal control theory...
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  • William Rowan Hamilton: Cayley–Hamilton theorem Hamilton's equations Hamilton's principle HamiltonJacobi equation HamiltonJacobiBellman equation, related...
    3 KB (296 words) - 18:15, 13 October 2022
  • this gives rise to an important partial differential equation known as HamiltonJacobiBellman equation, − ∂ V ( t , x ) ∂ t = max u { I ( t , x , u ) + ∂...
    10 KB (1,461 words) - 18:14, 31 July 2023
  • This is a list of scientific equations named after people (eponymous equations). Contents A B C D E F G H I J K L M N O P R S T V W Y Z See also References...
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  • Thumbnail for Optimal control
    principle or simply Pontryagin's principle), or by solving the HamiltonJacobiBellman equation (a sufficient condition). We begin with a simple example. Consider...
    32 KB (4,734 words) - 01:09, 20 June 2025
  • See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations....
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  • Black–Scholes equation Affine term structure modeling Fokker–Planck equation Dupire equation (local volatility) HamiltonJacobiBellman equation Merton's portfolio...
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  • Shreve and Soner provided an analysis of the problem via the HamiltonJacobiBellman equation and its viscosity solutions. When there are fixed transaction...
    11 KB (1,531 words) - 07:26, 18 July 2025
  • Thumbnail for Rudolf E. Kálmán
    Rudolf E. Kálmán (category Richard E. Bellman Control Heritage Award recipients)
    state-variable models from input/output functions". Regelungstechnik. HamiltonJacobiBellman equation "The President's National Medal of Science: Recipient Details:...
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  • Recursive economics (category Equations)
    programming HamiltonJacobiBellman equation Markov decision process Optimal control theory Optimal substructure Recursive competitive equilibrium Bellman pseudospectral...
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  • Thumbnail for Benjamin Moll
    main equations: a HamiltonJacobiBellman equation associated with the optimal decision of the household, and an associated Fokker–Planck equation (Kolmogorov...
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  • algorithms can be used for parallelization of Bellman equation and HamiltonJacobiBellman equations (HJB equations), including their Linear–quadratic regulator...
    46 KB (5,592 words) - 08:59, 13 June 2025
  • Control Design for a Class of Nonlinear Systems by Lifting Hamilton-Jacobi-Bellman Equation". 2020 American Control Conference (ACC). Denver, CO, USA:...
    5 KB (926 words) - 21:02, 24 May 2025