Results 81 to 90 of about 1,463,226 (220)

A behavioural approach to port-controlled systems [PDF]

open access: yesarXiv
We give insight in the structure of port-Hamiltonian systems as control systems in between two closed Hamiltonian systems. Using the language of category theory, we identify systems with their behavioural representation and view a port-control structure with desired structural properties on a given closed system as an extension of this system which ...
arxiv  

Relational Observables in Gravity: a Review

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
We present an overview on relational observables in gravity mainly from a loop quantum gravity perspective. The gauge group of general relativity is the diffeomorphism group of the underlying manifold.
Johannes Tambornino
doaj   +1 more source

Tracking Control of Fully-actuated Mechanical port-Hamiltonian Systems using Sliding Manifolds and Contraction [PDF]

open access: yesarXiv, 2016
In this paper, we propose a novel trajectory tracking controller for fully-actuated mechanical port-Hamiltonian (pH) systems, which is based on recent advances in contraction-based control theory. Our proposed controller renders a desired sliding manifold (where the reference trajectory lies) attractive by making the corresponding error system ...
arxiv  

Modified similarity renormalization of Hamiltonians. Positronium on the light front [PDF]

open access: yesarXiv, 1997
Modified similarity renormalization (MSR) of Hamiltonians is proposed, that performes by means of flow equations the similarity transformation of Hamiltonian in the particle number space. This enables to renormalize in the energy space the field theoretical Hamiltonian and makes possible to work in a severe trancated Fock space for the renormalized ...
arxiv  

Symmetries and conservation laws of Hamiltonian systems [PDF]

open access: yesarXiv, 2017
In this paper we study the infinitesimal symmetries, Newtonoid vector fields, infinitesimal Noether symmetries and conservation laws of Hamiltonian systems. Using the dynamical covariant derivative and Jacobi endomorphism on the cotangent bundle we find the invariant equations of infinitesimal symmetries and Newtonoid vector fields and prove that the ...
arxiv  

Jet space extensions of infinite-dimensional Hamiltonian systems [PDF]

open access: yesarXiv
We analyze infinite-dimensional Hamiltonian systems corresponding to partial differential equations on one-dimensional spatial domains formulated with formally skew-adjoint Hamiltonian operators and nonlinear Hamiltonian density. In various applications, the Hamiltonian density can depend on spatial derivatives of the state such that these systems can ...
arxiv  

Optimal control of Cocoa Black pod disease: A multi-pronged approach

open access: yesFranklin Open
This study presents a novel approach to controlling cocoa black pod disease, caused by Phytophthora megakarya. Unlike previous methods, we employ a mathematical modeling framework based on Pontryagin’s Maximum Principle to optimize control strategies ...
A.O. Adeniran   +2 more
doaj  

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