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229 826 (0,294s)

Result

Exact Linearization of Nonholonomic System Dynamics Applied to Control of Differentially Driven Soccer Robot

This paper describes the dynamic modeling of nonholonomic system for control purposes. The equations of motion together with nonholonomic constraint are reduced into system of five 1st order equations. Fur...

JD - Využití počítačů, robotika a její aplikace

  • 2008
  • Jx
Result

Uniform projectile motion: dynamics, symmetries and conservation laws

laws of the considered system are studied, the nonholonomic formulation first integrals of this nonholonomic system.A geometric nonholonomic theory is applied to the problem of uniform projectile is inves...

BA - Obecná matematika

  • 2014
  • Jx
Result

Constraint Lepage one forms in higher order mechanics with nonholonomic constraints on the dynamical space

A geometric setting for higher order mechanical systems subjected to nonholonomic constraints of an arbitrary order has been proposed in Ref. 1. In this paper we study the simplest case, when nonholonomic constraints are of...

BA - Obecná matematika

  • 2008
  • D
Result

Dynamics and control of differentially driven soccer robot using exact linearization

The paper deals with the kinematics and dynamics of two wheeled differentially driven soccer robot. Reduced dynamical model is derived using defined nonholonomic constraints. Further, the method of exact linearization is us...

JD - Využití počítačů, robotika a její aplikace

  • 2008
  • D
Result

Non-holonomic mechanical systems and variational principle

Study of variationality of nonholonomic constraint mechanical systems within the geometrical theory of nonholonomic constrained systems and constraint Cartan forms. Applications in physics....

BE - Teoretická fyzika

  • 2005
  • D
Result

On the constraints in optimal managing of natural resources systems

This contribution serves as an introductory study of constrained systems arising in the natural resources modeling. We focus on two non-equivalent treatments of such constrained dynamical systems (so called vakonomic and

BA - Obecná matematika

  • 2013
  • D
Result

Geometric mechanics on nonholonomic submanifolds

is a submanifold in a jet bundle, and a nonholonomic system is modelled as an exterior of nonholonomic systems on constraint manifolds and their geometric meaning, a nonholonomicIn this survey article,

BA - Obecná matematika

  • 2010
  • Jx
Result

Nonconservative mechanical systems with nonholonomic constraints

form of the nonholonomic Hamiltonian equations for nonconservative systems.A geometric setting for generally nonconservative mechanical systems on fibred manifolds is proposed. Emphasis is put on an explicit formulation of...

BA - Obecná matematika

  • 2012
  • Jx
Result

CONTROL OF SOCCER ROBOT USING EXACT LINEARIZATION

The paper describes dynamic modeling of a nonholonomic system for control purposes. The equations of motion together with nonholonomic constraint are reduced into system of five 1st order differential equa...

JD - Využití počítačů, robotika a její aplikace

  • 2008
  • D
Result

The relativistic mechanics in a nonholonomic setting : a unified approach to particles with non-zero mass and massless particles

in a unified way dynamics of different kinds of relativistic particles. Mathematically it is an application of a geometric theory of nonholonomic systems on fibred manifolds. We propose type term), arising due to the n...

BE - Teoretická fyzika

  • 2012
  • Jx
  • Link
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