Generalized nonholonomic mechanics, servomechanisms and related brackets
From MaRDI portal
Publication:3441610
DOI10.1063/1.2165797zbMath1111.70012OpenAlexW1999384581MaRDI QIDQ3441610
Hernan Cendra, Sergio Daniel Grillo
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2165797
Control of mechanical systems (70Q05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25)
Related Items (14)
A Hamilton-Jacobi theory for general dynamical systems and integrability by quadratures in symplectic and Poisson manifolds ⋮ On the relationship between the \textit{energy shaping} and the \textit{Lyapunov constraint based} methods ⋮ A historical review on nonholomic mechanics ⋮ Lagrangian systems with higher order constraints ⋮ Nonholonomic mechanical systems and Kaluza-Klein theory ⋮ On generalized nonholonomic systems ⋮ Lagrangian reduction of generalized nonholonomic systems ⋮ Variational reduction of Hamiltonian systems with general constraints ⋮ Higher order constrained Hamiltonian systems ⋮ Differential geometry of distributions ⋮ Elementary thermo-mechanical systems and higher order constraints ⋮ On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich ⋮ Decomposition of almost Poisson structure of non-self-adjoint dynamical systems ⋮ d’Alembert–Lagrange analytical dynamics for nonholonomic systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics on Leibniz manifolds
- Reduction of some classical non-holonomic systems with symmetry
- Poisson reduction for nonholonomic mechanical systems with symmetry
- Various approaches to conservative and nonconservative nonholonomic systems
- Nonholonomic reduction
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
- Reduction of constrained mechanical systems and stability of relative equilibria
- Nonholonomic mechanical systems with symmetry
- Higher-order differential equations and higher-order lagrangian mechanics
- On almost-Poisson structures in nonholonomic mechanics
- Reduction of constrained systems with symmetries
- A generalization of Chetaev’s principle for a class of higher order nonholonomic constraints
- Constructive tool for orbital stabilization of underactuated nonlinear systems: virtual constraints approach
- On the geometry of non-holonomic Lagrangian systems
- Higher-order mechanical systems with constraints
This page was built for publication: Generalized nonholonomic mechanics, servomechanisms and related brackets
