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Hamilton–Jacobi–Bellman equation

ON THE STRUCTURE OF THE SINGULAR SET OF A PIECEWISE SMOOTH MINIMAX SOLUTION OF THE HAMILTON–JACOBI–BELLMAN EQUATION

ON THE STRUCTURE OF THE SINGULAR SET OF A PIECEWISE SMOOTH MINIMAX SOLUTION OF THE HAMILTON–JACOBI–BELLMAN EQUATION

... Another work deserves special attention. It is the monograph P. Cannarsa and C. Sinestari [7]. The authors study solutions of the HamiltonJacobiBellman equation in the class of semiconvex or ...

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Solving the Hamilton-Jacobi-Bellman Equation for Animation

Solving the Hamilton-Jacobi-Bellman Equation for Animation

... This thesis addresses the construction of a practical method for solving the Hamilton-Jacobi- Bellman (HJB) equation for the purpose of computer animation. Solutions of the HJB e[r] ...

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Some non monotone schemes for Hamilton-Jacobi-Bellman equations

Some non monotone schemes for Hamilton-Jacobi-Bellman equations

... order Hamilton-Jacobi equations for examples in [2, 23] or in [22] using spectral methods on a periodic ...order Hamilton-Jacobi-Bellman equation, some non monotone explicit ...

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On viscosity solution of Hamilton-Jacobi-Belman equations

On viscosity solution of Hamilton-Jacobi-Belman equations

... function under consideration is a viscosity supersolution of the related Hamilton-Jacobi-Bellman equation. This extends a number of results in the literature dealing with the viscosity ...

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Optimal Dynamic Proportional and Excess of Loss Reinsurance under Dependent Risks

Optimal Dynamic Proportional and Excess of Loss Reinsurance under Dependent Risks

... the Hamilton-Jacobi-Bellman equation and, in the special case of the only excess of loss reinsurance, we obtain the optimal strategy in a closed form, and the corresponding value ...

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Optimal Consumption in a Stochastic Ramsey Model with Cobb Douglas Production Function

Optimal Consumption in a Stochastic Ramsey Model with Cobb Douglas Production Function

... transformed Hamilton- Jacobi-Bellman equation, and they did not derive the optimal consumption policy from the optimality conditions in the HJB equation associated with the stochastic ...

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On the Connection between the Hamilton Jacobi Bellman and the Fokker Planck Control Frameworks

On the Connection between the Hamilton Jacobi Bellman and the Fokker Planck Control Frameworks

... In the framework of stochastic processes, the connection between the dynamic programming scheme given by the Hamilton-Jacobi-Bellman equation and a recently proposed control approach based on ...

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Efficient Methods for Stochastic Optimal Control

Efficient Methods for Stochastic Optimal Control

... Linear Hamilton Jacobi Bellman equation largely began with Kappen [61, 62], who discovered that particular assumptions on the structure of a dynamical system allows the transformation of the ...

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An exact viscosity solution to a Hamilton–Jacobi–Bellman quasi-variational inequality for animal population management

An exact viscosity solution to a Hamilton–Jacobi–Bellman quasi-variational inequality for animal population management

... An infinite-horizon management problem of an animal population in a habitat is consid- ered [21]. We assume that the decision-maker, the manager of the animal population, can reduce the animal population through ...

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Estimates for multiple stochastic integrals and stochastic Hamilton Jacobi equations

Estimates for multiple stochastic integrals and stochastic Hamilton Jacobi equations

... stochastic Hamilton-Jacobi-Bellman (HJB for short) equations has increased, see ...HJB equation is used in two different contexts: firstly, for classical differential equations with a random ...

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On a system of Hamilton Jacobi Bellman inequalities associated to a minimax   problem with additive final cost

On a system of Hamilton Jacobi Bellman inequalities associated to a minimax problem with additive final cost

... programming equation. In Section 4, we give the HJB equation associated to the problem and we prove the uniqueness of the solution in the viscosity ...

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Elimination of Hard-Nonlinearities Destructive Effects in Control Systems Using Approximate Techniques

Elimination of Hard-Nonlinearities Destructive Effects in Control Systems Using Approximate Techniques

... of Hamilton-Jacobi-Bellman (HJB) partial differential equation (PDE) is designed for the system and finally, an adaptive anti disturbance technique is proposed to eliminate the friction ...

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Correcting curvature-density effects in the Hamilton-Jacobi skeleton

Correcting curvature-density effects in the Hamilton-Jacobi skeleton

... density due to boundary curvature. It is based on the momentum field, rather than velocity field, where the local density is in- tegrated along the path followed by the boundary points. This yields a skeletonization ...

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The Integration of Hamilton Principle with Einstein Field Equation

The Integration of Hamilton Principle with Einstein Field Equation

... enables Hamilton Action Quantity S to be the stationary value should be the one that really occurs in the system, and this is referred to as Hamilton ...Thus Hamilton Principle could be regarded as ...

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Company Value with Ruin Constraint in a Discrete Model

Company Value with Ruin Constraint in a Discrete Model

... Our first numerical method for the company value with ruin constraint is based on a modified 78. Bellman equation[r] ...

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Sufficient Conditions for Divergence in Projected Bellman Equation Methods

Sufficient Conditions for Divergence in Projected Bellman Equation Methods

... Then suppose we consider updating the parameter vector using one-step transi- tion samples where the initial state is drawn from the uniform distribution and the next state is given by the transition function. If all ...

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Constraints on holographic multifield inflation and models based on the Hamilton-Jacobi formalism

Constraints on holographic multifield inflation and models based on the Hamilton-Jacobi formalism

... One way of understanding the emergence of the bound is as follows: because the inflationary trajectory is dual to the renormalization group flow in the CFT side of the duality, the potential driving inflation must always ...

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Symplectic Numerical Approach for Nonlinear Optimal Control of Systems with Inequality Constraints

Symplectic Numerical Approach for Nonlinear Optimal Control of Systems with Inequality Constraints

... This paper presented a control system representation that seamlessly can be applied to a precise numerical solver of Hamilton-Jacobi equations called the stable manifold method in the optimal regulator ...

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Homogenization of monotone systems of non coercive Hamilton Jacobi Equations

Homogenization of monotone systems of non coercive Hamilton Jacobi Equations

... In this article, we study homogenization for a class of monotone systems of first-order time- dependent Hamilton-Jacobi equations in the case of non-coercive Hamiltonians. And we prove the uniform ...

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A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations

... governing equation is transformed to include the effect of the movement of the mesh and this is done in such a way that the conservation properties of the original equation are not ...

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