Interconnection of Lagrange–Dirac systems through nonstandard interaction structures
DOI10.1142/s0219887823501244OpenAlexW4319454654MaRDI QIDQ6181082
Publication date: 22 January 2024
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219887823501244
nonholonomic systemreduction by symmetryinteraction forcecontrol interconnected systemsDirac tensor productimplicit Lagrangian systemparameter-dependent subsystem
Control of mechanical systems (70Q05) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)
Cites Work
- Unnamed Item
- Dirac reduction for nonholonomic mechanical systems and semidirect products
- Generalized complex geometry
- Variational and geometric structures of discrete Dirac mechanics
- Geometric control and numerical aspects of nonholonomic systems
- Reduced variational formulations in free boundary continuum mechanics
- Dirac cotangent bundle reduction
- Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems
- Dirac structures in Lagrangian mechanics. II: Variational structures
- Hamiltonian reduction by stages
- Reduction of Dirac structures and the Hamilton-Pontryagin principle
- The Hamiltonian structure for dynamic free boundary problems
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Dynamics of the \(n\)-dimensional Suslov problem
- Variational integrators for interconnected Lagrange-Dirac systems
- 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.
- Tensor products of Dirac structures and interconnection in Lagrangian mechanics
- Lagrangian reduction by stages
- New insights in the geometry and interconnection of port-Hamiltonian systems
- Dirac Manifolds
- Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics
- Discrete Dirac Structures and Implicit Discrete Lagrangian and Hamiltonian Systems
- Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups
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