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 Hamilton–Jacobi–Bellman equation from dynamic programming. The Hamilton–Jacobi equation is a first-order, non-linear partial differential equation −...
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optimization problems, the analogous equation is a partial differential equation that is called the Hamilton–Jacobi–Bellman equation. In discrete time any multi-stage...
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Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...
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the Hamilton–Jacobi equation by William Rowan Hamilton and Carl Gustav Jacob Jacobi. The curse of dimensionality is an expression coined by Bellman to...
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decision process Dynamic programming Bellman equation for applications to economics. Hamilton–Jacobi–Bellman equation Optimal control Recursive economics...
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a Croatian folk custom Bellman equation, a condition for optimality in dynamic programming Hamilton–Jacobi–Bellman equation, a condition for optimality...
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differential equations Broer–Kaup equations Burgers' equation Euler equations Fokker–Planck equation Hamilton–Jacobi equation, Hamilton–Jacobi–Bellman equation Heat...
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Dynamic programming (category Equations)
{u} (t),t\right)\right\}} a partial differential equation known as the Hamilton–Jacobi–Bellman equation, in which J x ∗ = ∂ J ∗ ∂ x = [ ∂ J ∗ ∂ x 1 ...
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the shape for a solid propellant rocket grain Hamilton–Jacobi–Bellman equation Hamilton–Jacobi equation Fermat's principle The Oxford English Dictionary...
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remains optimal at intermediate points in time. The resulting Hamilton–Jacobi–Bellman equation provides a necessary and sufficient condition for an optimum...
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Hamilton–Jacobi–Bellman equation Hamilton–Jacobi–Einstein equation Hamilton–Jacobi–Isaacs equation Ivory–Jacobi formula Jacobi–Lie bracket Jacobi–Anger expansion...
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the Hamilton-Jacobi-Bellman equation is the Bellman equation, and the discrete version of the Fokker-Planck equation is the Kolmogorov equation. Specifically...
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Viscosity solution (category Partial differential equations)
order equations arising in dynamic programming (the Hamilton–Jacobi–Bellman equation), differential games (the Hamilton–Jacobi–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...
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80–90. Bellman for his Dynamic programming in its continuous-time form used Carathéodory's work in the form of the Hamilton–Jacobi–Bellman equation. Kálmán...
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optimization Dynamic programming Bellman equation Hamilton–Jacobi–Bellman equation — continuous-time analogue of Bellman equation Backward induction — solving...
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Lawrence C. Evans (category Partial differential equation theorists)
theory of viscosity solutions of nonlinear equations, to the understanding of the Hamilton–Jacobi–Bellman equation arising in stochastic optimal control theory...
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William Rowan Hamilton: Cayley–Hamilton theorem Hamilton's equations Hamilton's principle Hamilton–Jacobi equation Hamilton–Jacobi–Bellman equation, related...
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this gives rise to an important partial differential equation known as Hamilton–Jacobi–Bellman equation, − ∂ V ( t , x ) ∂ t = max u { I ( t , x , u ) + ∂...
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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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principle or simply Pontryagin's principle), or by solving the Hamilton–Jacobi–Bellman equation (a sufficient condition). We begin with a simple example. Consider...
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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) Hamilton–Jacobi–Bellman equation Merton's portfolio...
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Shreve and Soner provided an analysis of the problem via the Hamilton–Jacobi–Bellman equation and its viscosity solutions. When there are fixed transaction...
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Rudolf E. Kálmán (category Richard E. Bellman Control Heritage Award recipients)
state-variable models from input/output functions". Regelungstechnik. Hamilton–Jacobi–Bellman equation "The President's National Medal of Science: Recipient Details:...
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Recursive economics (category Equations)
programming Hamilton–Jacobi–Bellman equation Markov decision process Optimal control theory Optimal substructure Recursive competitive equilibrium Bellman pseudospectral...
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main equations: a Hamilton–Jacobi–Bellman 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 Hamilton–Jacobi–Bellman equations (HJB equations), including their Linear–quadratic regulator...
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Control Design for a Class of Nonlinear Systems by Lifting Hamilton-Jacobi-Bellman Equation". 2020 American Control Conference (ACC). Denver, CO, USA:...
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