3 papers
physics.gen-ph2023
Understanding the Hamiltonian Function through the Geometry of Partial Legendre Transforms
John E. Hurtado
The relationship between the Hamiltonian and Lagrangean functions in analytical mechanics is a type of duality. The two functions, while distinct, are both descriptive functions en…
eess.SY2022
A summary on the UD Kalman Filter
J. Humberto Ramos, Kevin Brink, Prashant Ganesh +1
This document contains a concise and unified reference for one of the existing mechanizations of the UD Kalman filter. The associated matrix algorithms are also included along with…
physics.class-ph2020
Analytical Dynamics Development of the Canonical Equations
John E. Hurtado
It is most common to construct the Hamiltonian function and Hamilton's canonical equations through a Legendre transformation of the Lagrangean function or through the central equat…