Results 1 to 10 of about 10,247 (176)

Resurgence in a Hamilton-Jacobi equation [PDF]

Annales de l'Institut Fourier, 2002
We study the resurgent structure associated with a Hamilton-Jacobi equation. This equation is obtained as the inner equation when studying the separatrix splitting problem for a perturbed pendulum via complex matching.
Martínez-Seara Alonso, M. Teresa, Sauzin, D., Olivé, Carme   +2 more
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An approximation method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]

, 2006
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, Noboru, Sakamoto, N., Sakamoto, Noboru,, van der Schaft, Arjan, Schaft, Arjan J. van der, Noboru Sakamoto, Schaft, Arjan J. van der,, Schaft, Arjan J. van der; id_orcid, van der Schaft, AJ; id_orcid, Arjan J. van der Schaft, van der Schaft, AJ   +10 more
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Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations [PDF]

, 2004
We study stochastic Hamilton-Jacobi-Bellman equations and the corresponding Hamiltonian systems driven by jump-type Lévy processes. The main objective of the present paper is to show existence, uniqueness and a (locally in time) diffeomorphism ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich), Tyukov, Alexei E., Schilling, René L., Vassili Kolokol'tsov, Alexei Tyukov, Schilling, RL, Tyukov, AE, Tyukov, A.E., Kolokoltsov, VN, Kolokol'tsov, V.N., René Schilling   +10 more
core   +1 more source

Optimal control of the propagation of a graph in inhomogeneous media [PDF]

, 2009
We study an optimal control problem for viscosity solutions of a Hamilton–Jacobi equation describing the propagation of a one-dimensional graph with the control being the speed function.
Deckelnick, Klaus, Vanessa Styles (4460662), Charles M Elliott (16060877), Styles, Vanessa, Klaus Deckelnick (16038425), Elliott, Charles M.   +5 more
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On the generalized Jacobi equation. [PDF]

, 2008
The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick V, Perlick, Volker
core   +1 more source

Idempotent structures in optimization [PDF]

, 2001
Consider the set A = R ∪ {+∞} with the binary operations o1 = max and o2 = + and denote by An the set of vectors v = (v1,...,vn) with entries in A. Let the generalised sum u o1 v of two vectors denote the vector with entries uj o1 vj , and the product
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

Efficient Higher Order Time Discretization Schemes For Hamilton-Jacobi-Bellman Equations Based On Diagonally Implicit Symplectic Runge-Kutta Methods

, 2022
S.97-128We consider a semi-Lagrangian approach for the computation of the value function of a Hamilton-Jacobi-Bellman equation. This problem arises when one solves optimal feedback control problems for evolutionary partial differential equations.
Kalmykov, Ilja, Garcke, Jochen
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A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations

, 2007
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
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Viscosity solutions of the evolutive Hamilton-Jacobi equation by limiting variational methods. With a look to the stationary case.

, 2023
openWe consider two notions of weak solutions for the evolutive Hamilton-Jacobi equation: the viscosity and the variational solutions. For globally compactly supported Hamiltonians, we introduce iterative min-max procedures -for time intervals tending to
CAMPEDELLI, GAIA
core  

Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]

, 2005
This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der, Petersen, Mark A., Schaft, Arjan J. van der,, Schaft, Arjan J. van der; id_orcid, Petersen, Mark A.,   +4 more
core   +1 more source