Results 41 to 50 of about 42,410 (200)
The Hamilton-Jacobi equation and holographic renormalization group flows on sphere
Journal of High Energy Physics, 2020 We study the Hamilton-Jacobi formulation of effective mechanical actions associated with holographic renormalization group flows when the field theory is put on the sphere and mass terms are turned on.
Nakwoo Kim, Se-Jin Kim
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Optimal Trajectories Associated to a Solution of Contingent Hamilton-Jacobi Equation [PDF]
, 1987 In this paper we study the existence of optimal trajectories associated with a generalized solution to Hamilton-Jacobi-Bellman equation arising in optimal control. In general, we cannot expect such solutions to be differentiable.
Frankowska, H.
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Heat Transfer, EarlyView.ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
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Optimal Propagating Fronts Using Hamilton-Jacobi Equations
Mathematics, 2019 The optimal handling of level sets associated to the solution of Hamilton-Jacobi equations such as the normal flow equation is investigated. The goal is to find the normal velocity minimizing a suitable cost functional that accounts for a desired ...
Angelo Alessandri +3 more
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Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
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Solution Hamilton-Jacobi equation for oscillator Caldirola-Kanai
Revista Científica, 2016 The method allows Hamilton-Jacobi explicitly determine the generating function from which is possible to derive a transformation that makes soluble Hamilton's equations.
LEONARDO PASTRANA ARTEAGA +1 more
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Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach +2 more
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Viscosity Solutions of Hamilton-Jacobi Equations [PDF]
Transactions of the American Mathematical Society, 1983 Problems involving Hamilton-Jacobi equations—which we take to be either of the stationary form H ( x , u , D u ) = 0 H(x,u,Du) = 0 or of the evolution form u t + H
Crandall, Michael G. +1 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye +2 more
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Entropy, 2016 The present work deals with the semi-classical tunnelling approach and the Hamilton–Jacobi method to study Hawking radiation from the dynamical horizon of both the homogeneous Friedmann–Robertson–Walker (FRW) model and the inhomogeneous Lemaitre–Tolman ...
Subenoy Chakraborty +2 more
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