Results 41 to 50 of about 1,550,223 (212)

Covariant Hamilton–Jacobi Formulation of Electrodynamics via Polysymplectic Reduction and Its Relation to the Canonical Hamilton–Jacobi Theory

open access: yesMathematics
The covariant Hamilton–Jacobi formulation of electrodynamics is systematically derived from the first-order (Palatini-like) Lagrangian. This derivation utilizes the De Donder–Weyl covariant Hamiltonian formalism with constraints incroporating generalized
Cecile Barbachoux   +4 more
doaj   +1 more source

Idempotent structures in optimization [PDF]

open access: yes, 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

Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
wiley   +1 more source

Singular stochastic control model for algae growth management in dam downstream

open access: yesJournal of Biological Dynamics, 2018
A stochastic control model for finding an ecologically sound, fit-for-purpose dam operation policy to suppress bloom of attached algae in its downstream is presented. A singular exactly solvable and a more realistic regular-singular cases are analysed in
Hidekazu Yoshioka, Yuta Yaegashi
doaj   +1 more source

Enhanced Control Strategies for Residual‐Vibration Suppression and Adaptive Tracking in Flexible Manipulator Under Unknown Bounded Disturbances

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi   +5 more
wiley   +1 more source

Viscosity solutions of the evolutive Hamilton-Jacobi equation by limiting variational methods. With a look to the stationary case.

open access: yes, 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  

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

open access: yes, 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
core   +1 more source

ON CONNECTIONS BETWEEN GENERALIZED SOLUTIONS OF PDE'S OF THE FIRST ORDER

open access: yesUral Mathematical Journal, 2015
The paper is devoted to investigation of connections between generalized solutions of the Cauchy problemfor the Hamilton-Jacobi-Bellman equation and the corresponding quasilinear equation of the first order in theof case n-dimentional state ...
Ekaterina A. Kolpakova
doaj   +1 more source

3D Reconstruction of Non-Lambertian Surfaces by Perspective Shape-From-Shading With Fast Viscosity Solution

open access: yesFrontiers in Physics, 2022
Shape-from-shading (SFS) is an important method to reconstruct three-dimensional (3D) shape of a surface in photometry and computer vision. Lambertian surface reflectance and orthographic camera projection are two fundamental assumptions which generally ...
Guohui Wang, Hao Zheng
doaj   +1 more source

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

open access: yesInternational 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
wiley   +1 more source

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