The dynamics of systems with servoconstraints. I

DOI10.1134/S1560354715030016zbMath1353.70036OpenAlexW4240280605MaRDI QIDQ500454

Valery V. Kozlov

Publication date: 2 October 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354715030016

zbMATH Keywords

Lie groupssymmetriesleft-invariant constraintsservoconstraintssystems with quadratic right-hand sides

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Stability of solutions to ordinary differential equations (34D20) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (8)

Historical and critical review of the development of nonholonomic mechanics: the classical period ⋮ Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ The dynamics of systems with servoconstraints. II ⋮ Motion Control of a Spherical Robot with a Pendulum Actuator for Pursuing a Target ⋮ Fluid dynamics and thermodynamics as a unified field theory ⋮ Control of the dynamics of a system with differential constraints ⋮ Fermi-like acceleration and power-law energy growth in nonholonomic systems ⋮ A Study of the Controlled Motion of a Four-wheeled Mecanum Platform

Cites Work

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• The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere
• Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
• The reversal and chaotic attractor in the nonholonomic model of Chaplygin's top
• Invariant measures of Euler-Poincaré equations on Lie algebras
• On the integration theory of equations of nonholonomic mechanics
• Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov
• Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds
• Rolling of a homogeneous ball over a dynamically asymmetric sphere
• Hamiltonicity and integrability of the Suslov problem
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Dynamics and control of an omniwheel vehicle
• Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

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