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Error analysis of forced discrete mechanical systems
(American Institute of Mathematical Sciences, 2021-12)
The purpose of this paper is to perform an error analysis of the variational integrators of mechanical systems subject to external forcing. Es- sentially, we prove that when a discretization of contact order r of the La- ...
Lagrangian reduction of nonholonomic discrete mechanical systems
(American Institute of Mathematical Sciences, 2010-03)
In this paper we propose a process of lagrangian reduction and<br />reconstruction for nonholonomic discrete mechanical systems where the action of a continuous symmetry group makes the configuration space a principal ...
Control of Mechanical Systems with Dry Friction
(Revista Computación y Sistemas; Vol. 16 No. 1, 2012-03-15)
Abstract. A technique to design a dynamic continuous
controller to regulate a class of full-actuated mechanical
systems with dry friction is proposed. It is shown that
the control eliminates the steady-state error and ...
Discrete second order constrained Lagrangian systems: first results
(American Institute of Mathematical Sciences, 2013-12)
We briefly review the notion of second order constrained (continuous) system (SOCS) and then propose a discrete time counterpart of it, which we naturally call discrete second order constrained system (DSOCS). To illustrate ...