How to control the Chaplygin sphere using rotors
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Publication:6654726
Alexander A. Kilin, A. V. Borisov, I. S. Mamaev
Publication date: 20 December 2024
Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Stabilization of an autonomous rolling sphere navigating in a labyrinth arena: A geometric mechanics perspective
- Rubber rolling over a sphere
- Geometric phases in the motion of rigid bodies
- The dynamics of Chaplygin ball: the qualitative and computer analysis
- Nonholonomic manipulators.
- Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
- Rolling of a ball on a surface. New integrals and hierarchy of dynamics
- Design and analysis of a spherical mobile robot
- Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
- Rolling bodies with regular surface: Controllability theory and applications
- Dynamics of rigid body.
- Rolling of a body on a plane or a sphere: a geometric point of view
- Spacecraft attitude control and stabilization: Applications of geometric control theory to rigid body models
- Controllability and motion planning of a multibody Chaplygin's sphere and Chaplygin's top
- The Nonholonomy of the Rolling Sphere
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- Chaplygin's ball with a gyrostat: singular solutions
Related Items (7)
How to control the Chaplygin ball using rotors. II ⋮ The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere ⋮ The problem of optimal control of a Chaplygin ball by internal rotors ⋮ Rolling without spinning of a ball on a plane: absence of an invariant measure in a system with a complete set of first integrals ⋮ Rolling of a rigid body without slipping and spinning: kinematics and dynamics ⋮ The problem of drift and recurrence for the rolling Chaplygin ball ⋮ The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside
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