Mathematical modelling and theoretical analysis of nonholonomic kinematic systems with a class of rheonomous affine constraints

DOI10.1016/j.apm.2011.10.015zbMath1252.70037OpenAlexW2050737057MaRDI QIDQ693409

Tatsuya Kai

Publication date: 7 December 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.10.015

zbMATH Keywords

accessibilitycomplete nonholonomicityrheonomous affine constraintslinearly-approximated systemsnonholonomic kinematic systemsrheonomous bracket

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (8)

Modeling and finite-time tracking control for mobile manipulators with affine and holonomic constraints ⋮ Modeling and passivity analysis of nonholonomic Hamiltonian systems with rheonomous affine constraints ⋮ Adaptive sliding-mode tracking control for a class of nonholonomic mechanical systems ⋮ The inhomogeneous Suslov problem ⋮ Modeling and analysis of nonholonomic dynamic systems with a class of rheonomous affine constraints ⋮ Adaptive motion/force control of nonholonomic mechanical systems with affine constraints ⋮ Adaptive Motion/Force Tracking Control for a Class of Mobile Manipulators ⋮ A novel computer-oriented dynamical approach with efficient formulations for multibody systems including ignorable coordinates

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