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) …

Nonholonomic systems are a widespread topic in several scientific and commercial
domains, including robotics, locomotion and space exploration. This work sheds new light …

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 …

We describe geometrically contact Lagrangian systems under impulsive forces and
constraints, as well as instantaneous nonholonomic constraints which are not uniform along …

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 …

In this paper, we propose a general model for constrained Hamiltonian systems on a
symplectic manifold, providing a unified setting for the description of various types of …

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 …

Geometric formulation of Carnot's theorem Page 1 Journal of Physics A: Mathematical and
General Geometric formulation of Carnot's theorem To cite this article: Alberto Ibort et al 2001 J …

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 …

A class for systems of nonlinear second-order differential equations with periodic impulse
action are considered. An urgent problem for this class of differential equations is the …