Work

Geometric Hamilton–Jacobi theory for systems with external forces

Year: 2022

Type: article

Abstract: In this paper, we develop a Hamilton–Jacobi theory for forced Hamiltonian and Lagrangian systems. We study the complete solutions, particularize for Rayleigh systems, and present some examples. Additionally, we present a method for the reduction and reconstruction of the Hamilton–Jacobi problem for forced Hamiltonian systems with symmetry. Furthermore, we consider the reduction of the Hamilton–Jacobi problem for a Čaplygin system to the Hamilton–Jacobi problem for a forced Lagrangian system.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0073214

Authors: Manuel de León, Manuel Lainz, Asier López-Gordón

Institutions: Universidad Complutense de Madrid, Consejo Superior de Investigaciones Científicas, Institute of Mathematical Sciences, Universidad Carlos III de Madrid, Universidad Autónoma de Madrid

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,583

Funders: Instituto de Ciencias Matemáticas, Ministerio de Ciencia, Innovación y Universidades, Ministerio de Ciencia e Innovación, Division of Mathematical Sciences