Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds

A Geometric Approach to Modeling and Analysis

Autori

• Taeyoung Lee
• Melvin Leok
• N. Harris McClamroch

Parametri

Pagine

568pagine

Tempo di lettura

20ore

• Matematica
• Tecnologia e Ingegneria

Maggiori informazioni sul libro

Focusing on a global perspective in mechanics, this book introduces the variational formulation of Lagrangian and Hamiltonian dynamics. It presents a novel methodology to derive globally valid equations of motion on various types of configuration manifolds, such as Lie groups and homogeneous spaces. This approach effectively circumvents the challenges posed by coordinate singularities, offering a fresh conceptual framework that departs from traditional methods reliant on local coordinates.

Per saperne di più

Lingua: Inglese

Pubblicato: 2017

(In brossura)