On the guidance, navigation and control of in-orbit space robotic missions: A survey and prospective vision

BM Moghaddam, R Chhabra - Acta Astronautica, 2021 - Elsevier
In the first part, this article presents an overview of Guidance, Navigation and Control (GNC)
methodologies developed for space manipulators to perform in-orbit robotic missions …

Historical and critical review of the development of nonholonomic mechanics: the classical period

AV Borisov, IS Mamaev, IA Bizyaev - Regular and Chaotic Dynamics, 2016 - Springer
In this historical review we describe in detail the main stages of the development of
nonholonomic mechanics starting from the work of Earnshaw and Ferrers to the monograph …

Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems

M de León, C Sardón - Journal of Physics A: Mathematical and …, 2017 - iopscience.iop.org
In this paper, we apply the geometric Hamilton–Jacobi theory to obtain solutions of classical
hamiltonian systems that are either compatible with a cosymplectic or a contact structure. As …

[HTML][HTML] Hamilton–Jacobi theory and integrability for autonomous and non-autonomous contact systems

M de León, M Lainz, A López-Gordón… - Journal of Geometry and …, 2023 - Elsevier
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent
and independent. In order to do so, we construct a Hamilton–Jacobi theory for these systems …

Gauge transformations, twisted Poisson brackets and Hamiltonization of nonholonomic systems

P Balseiro, LC García-Naranjo - Archive for Rational Mechanics and …, 2012 - Springer
In this paper we study the problem of Hamiltonization of nonholonomic systems from a
geometric point of view. We use gauge transformations by 2-forms (in the sense of Ševera …

The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside

IA Bizyaev, AV Borisov, IS Mamaev - Regular and Chaotic Dynamics, 2014 - Springer
In this paper we investigate two systems consisting of a spherical shell rolling without
slipping on a plane and a moving rigid body fixed inside the shell by means of two different …

[HTML][HTML] Geometric Hamilton–Jacobi theory for systems with external forces

M de León, M Lainz, A López-Gordón - Journal of Mathematical …, 2022 - pubs.aip.org
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 …

Discrete Hamilton–Jacobi theory

T Ohsawa, AM Bloch, M Leok - SIAM Journal on Control and Optimization, 2011 - SIAM
We develop a discrete analogue of Hamilton–Jacobi theory in the framework of discrete
Hamiltonian mechanics. The resulting discrete Hamilton–Jacobi equation is discrete only in …

Variational and geometric structures of discrete Dirac mechanics

M Leok, T Ohsawa - Foundations of computational mathematics, 2011 - Springer
In this paper, we develop the theoretical foundations of discrete Dirac mechanics, that is,
discrete mechanics of degenerate Lagrangian/Hamiltonian systems with constraints. We first …

Contact hamiltonian systems

ML Valcázar - 2022 - documat.unirioja.es
Contact Hamiltonian systems are a generalization of the Hamiltonian systems of classical
mechanics. The action is added as an extra variable in phase space, and symplectic …