Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds

A Geometric Approach to Modeling and Analysis

Autor*innen

• Taeyoung Lee
• Melvin Leok
• N. Harris McClamroch

Parameter

• 568 Seiten
• 20 Lesestunden

• Mathematik
• Technik & Maschinenbau

Mehr zum Buch

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.

• Sprache: Englisch
• Erscheinungsdatum: 2017
• Einband: Paperback