Results 31 to 40 of about 1,033 (162)
Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator
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
wiley +1 more source
In this paper, we study the underlying geometry in the classical Hamilton-Jacobi equation. The proposed formalism is also valid for nonholonomic systems. We first introduce the essential geometric ingredients: a vector bundle, a linear almost Poisson structure and a Hamiltonian function, both on the dual bundle (a Hamiltonian system).
de Leon, Manuel +2 more
openaire +2 more sources
Between Laws and Models: Some Philosophical Morals of Lagrangian Mechanics [PDF]
I extract some philosophical morals from some aspects of Lagrangian mechanics. (A companion paper will present similar morals from Hamiltonian mechanics and Hamilton-Jacobi theory.) One main moral concerns methodology: Lagrangian mechanics provides a ...
Butterfield, Jeremy
core
Hamilton-Jacobi Formulation of Green-Schwarz Superstring [PDF]
The canonical formalism for fermion string ‘superstring’ theory is constructed by following the Hamilton-Jacobi prescription. The Hamiltonian mechanics of the Green-Schwarz superstring are discussed.
Farahat, Naser I., Elegla, Hanaa A
core +1 more source
Key Technical Fields and Future Outlooks of Space Manipulators: A Survey
This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen +12 more
wiley +1 more source
Equilibrium Reward for Liquidity Providers in Automated Market Makers
ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha +2 more
wiley +1 more source
Differential Galois Theory and Hopf Algebras for Lie Pseudogroups
According to a clever but rarely quoted or acknowledged work of E. Vessiot that won the prize of the Académie des Sciences in 1904, “Differential Galois Theory” (DGT) has mainly to do with the study of “Principal Homogeneous Spaces” (PHSs) for finite ...
Jean-Francois Pommaret
doaj +1 more source
A Model of Strategic Sustainable Investment
ABSTRACT We study a problem of optimal irreversible investment and emission reduction formulated as a nonzero‐sum dynamic game between an investor with environmental preferences and a firm. The game is set in continuous‐time on an infinite‐time horizon.
Tiziano De Angelis +2 more
wiley +1 more source
On Symmetry and Conserved Quantities in Classical Mechanics [PDF]
This paper expounds the relations between continuous symmetries and conserved quantities, i.e. Noether's ``first theorem'', in both the Lagrangian and Hamiltonian frameworks for classical mechanics.
Butterfield, Jeremy
core
Double obstacle problems with obstacles given by non-C 2 Hamilton–Jacobi equations
We prove optimal regularity for double obstacle problems when obstacles are given by solutions to Hamilton-Jacobi equations that are not C (2). When the Hamilton-Jacobi equation is not C (2) then the standard Bernstein technique fails and we lose the ...
Shahgholian, Henrik +4 more
core +1 more source

