Zobrazeno 1 - 10
of 502
pro vyhledávání: '"70F25"'
Safe, smooth, and optimal motion planning for nonholonomically constrained mobile robots and autonomous vehicles is essential for achieving reliable, seamless, and efficient autonomy in logistics, mobility, and service industries. In many such applic
Externí odkaz:
http://arxiv.org/abs/2412.10350
Lagrangian Neural Networks (LNNs) are a powerful tool for addressing physical systems, particularly those governed by conservation laws. LNNs can parametrize the Lagrangian of a system to predict trajectories with nearly conserved energy. These techn
Externí odkaz:
http://arxiv.org/abs/2411.00110
In this paper, we prove that the trajectories of unreduced $\phi$-simple Chaplygin kinetic systems are reparametrizations of horizontal geodesics with respect to a modified Riemannian metric. Furthermore, our proof is constructive and these Riemannia
Externí odkaz:
http://arxiv.org/abs/2409.18648
We introduce a class of examples which provide an affine generalization of the nonholonomic problem of a convex body rolling without slipping on the plane. We investigate dynamical aspects of the system such as existence of first integrals, smooth in
Externí odkaz:
http://arxiv.org/abs/2409.08072
This paper presents a set-up for momentum map reduction of nonholonomic systems with symmetries, extending previous constructions in [3,25], based on the existence of certain conserved quantities and making essential use of the nonholonomic momentum
Externí odkaz:
http://arxiv.org/abs/2409.05970
Autor:
Jovanovic, Bozidar
We study the relativistic formulation of a classical time-dependent nonholonomic Lagrangian mechanics from the perspective of moving frames. We also introduce time-dependent $G$-Chaplygin systems with affine constraints, which are natural objects for
Externí odkaz:
http://arxiv.org/abs/2407.06231
We present some rigorous results on the absence of a wide class of invariant measures for dynamical systems possessing attractors. We then consider a generalization of the classical nonholonomic Suslov problem which shows how previous investigations
Externí odkaz:
http://arxiv.org/abs/2404.14156
Publikováno v:
2024 32nd Mediterranean Conference on Control and Automation (MED)
We consider a kinematic model of a controlled car with two trailers by assuming that each trailer is attached at some distance from the preceding axle ("off-hooked trailers"). For this model, we derive the transformation towards privileged coordinate
Externí odkaz:
http://arxiv.org/abs/2403.03341
We study the geometry underlying mechanics and its application to describe autonomous and nonautonomous conservative dynamical systems of different types; as well as dissipative dynamical systems. We use different geometric descriptions to study the
Externí odkaz:
http://arxiv.org/abs/2401.12650
Autor:
De León, Manuel, Jiménez, Víctor M.
In this paper we study contact nonholonomic mechanical sys\-tems. We construct a general framework for non-holonomic constraints in contact geometry and, in this framework, we define different nonholonomic brackets using con\-venient \linebreak decom
Externí odkaz:
http://arxiv.org/abs/2312.15044