[图书][B] Nonsmooth mechanics

B Brogliato, B Brogliato - 1999 - Springer
Thank you for opening the third edition of this monograph. The first edition [202] was
published in 1996 in the Lecture Notes in Control and Information Sciences series (vol. 220) …

[图书][B] Geometric, control and numerical aspects of nonholonomic systems

JC Monforte - 2002 - books.google.com
Nonholonomic systems are a widespread topic in several scientific and commercial
domains, including robotics, locomotion and space exploration. This work sheds new light …

A historical review on nonholomic mechanics

M De Leon - Revista de la Real Academia de Ciencias Exactas …, 2012 - Springer
The aim of this paper is to present a short historical/scientific review on nonholonomic
mechanics, with special emphasis on the latest developments. Indeed, the use of differential …

Contact Lagrangian systems subject to impulsive constraints

L Colombo, M de León… - Journal of Physics A …, 2022 - iopscience.iop.org
We describe geometrically contact Lagrangian systems under impulsive forces and
constraints, as well as instantaneous nonholonomic constraints which are not uniform along …

Nonsmooth Herglotz variational principle

A López-Gordón, L Colombo… - 2023 American Control …, 2023 - ieeexplore.ieee.org
In this paper, the theory of smooth actiondependent Lagrangian mechanics (also known as
contact Lagrangians) is extended to a non-smooth context appropriate for collision …

Symmetries and periodic orbits in simple hybrid Routhian systems

LJ Colombo, MEE Irazú - Nonlinear Analysis: Hybrid Systems, 2020 - Elsevier
Symmetries are ubiquitous in a wide range of nonlinear systems. Particularly in systems
whose dynamics is determined by a Lagrangian or Hamiltonian function. For hybrid systems …

Momentum and energy preserving integrators for nonholonomic dynamics

S Ferraro, D Iglesias, DM de Diego - Nonlinearity, 2008 - iopscience.iop.org
In this paper, we propose a geometric integrator for nonholonomic mechanical systems. It
can be applied to discrete Lagrangian systems specified through a discrete Lagrangian …

Geometric Hamilton-Jacobi theory and integrability for nonholonomic and forced hybrid systems

L Colombo, M de León, MEE Irazú… - arXiv preprint arXiv …, 2022 - arxiv.org
A hybrid system is a system whose dynamics are controlled by a mixture of both continuous
and discrete transitions. The geometric framework for the Hamilton-Jacobi theory is …

The geometry of dissipation

A López-Gordón - arXiv preprint arXiv:2409.11947, 2024 - arxiv.org
Dissipative phenomena manifest in multiple mechanical systems. In this dissertation,
different geometric frameworks for modelling non-conservative dynamics are considered …

Mechanical systems subjected to generalized non-holonomic constraints

J Cortés, M Deleón… - Proceedings of the …, 2001 - royalsocietypublishing.org
We study mechanical systems subject to constraint functions that can be dependent at some
points and independent at the rest. Such systems are modelled by means of generalized …