2 citations · 4 across the 18 of their papers we have counts for
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Nonholonomic mechanics and virtual constraints on Riemannian homogeneous spaces
Efstratios Stratoglou, Alexandre Anahory Simoes, Anthony Bloch +1
Nonholonomic systems are, so to speak, mechanical systems with a prescribed restriction on the velocities. A virtual nonholonomic constraint is a controlled invariant distribution…
Geometric stabilization of virtual linear nonholonomic constraints
Alexandre Anahory Simoes, Anthony Bloch, Leonardo Colombo +1
In this paper, we give sufficient conditions for and deduce a control law under which a mechanical control system converges exponentially fast to a virtual linear nonholonomic cons…
Comparison of two numerical methods for Riemannian cubic polynomials on Stiefel manifolds
Alexandre Anahory Simoes, Leonardo Colombo, Fátima Silva Leite
In this paper we compare two numerical methods to integrate Riemannian cubic polynomials on the Stiefel manifold . The first one is the adjusted de Casteljau alg…
The Interplay Between Symmetries and Impact Effects on Hybrid Mechanical Systems
William Clark, Leonardo Colombo, Anthony Bloch
Hybrid systems are dynamical systems with continuous-time and discrete-time components in their dynamics. When hybrid systems are defined on a principal bundle we are able to defin…
Variational Lifting and Optimal Gauges on Riemannian Homogeneous Spaces
Jacob R. Goodman, Leonardo J. Colombo
Building on standard Euler-Poincaré reduction on Lie groups, we develop a variational lifting framework for mechanical systems on Riemannian homogeneous spaces . A mechanica…