‎In this paper we study the dynamics of the 2D-motion of a particle of monolayer‎. First we consider the usual physical time component and the plan manifold R2, having the polar coordinates. Then a geometric approach to nonholonomic constrained mechanical systems is applied to a problem from the two dimensional geometric dynamics of the Langmuir-Blodgett monolayer‎. We consider a constraint sub...

In this paper we discuss asymptotic stability in energy-preserving systems which have an almost Poisson structure. In particular we consider a class of Poisson systems which includes the Toda lattice. In standard Hamiltonian systems one of course does not expect asymptotic stability. The key here is the structure of the phase space of the Poisson or almost Poisson systems and the nature of the ...

The stabilization to a desired pose of a nonholonomic mobile robot, based on visual data from a hand-eye system mounted on it, is considered. Instances of this problem occur in practice during docking or parallel parking maneuvers of such vehicles. In this paper, we investigate the use of visual servoing techniques for their control. After brie y presenting the relevant visual servoing framewor...