Hamiltonian theory of constrained impulsive motion

DOI10.1063/1.2192974zbMath1111.70013arXivmath/0401380OpenAlexW2007109636MaRDI QIDQ3441720

Alexandre M. Vinogradov, Jorge Cortés

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401380

zbMATH Keywords

nonholonomic constraintssymplectic formalismtransition principle

Mathematics Subject Classification ID

Hamilton's equations (70H05) 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 (7)

Differential geometry of rigid bodies collisions and non-standard billiards ⋮ A Poincaré-Bendixson theorem for hybrid systems ⋮ Symmetries and periodic orbits in simple hybrid Routhian systems ⋮ Invariant forms in hybrid and impact systems and a taming of Zeno ⋮ Symmetric and asymmetric multiple impulsive constraints without friction and their characterization ⋮ Nonideal unilateral constraints in impulsive mechanics: A geometric approach ⋮ Contact Lagrangian systems subject to impulsive constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Geometric theory of singularities of solutions of nonlinear differential equations
• The consistency problem in optimal control: the degenerate case.
• Geometric control and numerical aspects of nonholonomic systems
• Analytical dynamics of discrete systems
• Geometry of nonlinear differential equations
• Reduction of some classical non-holonomic systems with symmetry
• Nonholonomic reduction
• Eikonal type equations for geometrical singularities of solutions in field theory
• On the geometry of singular Lagrangians
• Geometry of inelastic collisions
• On the Hamiltonian formulation of nonholonomic mechanical 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.
• Reduction of constrained mechanical systems and stability of relative equilibria
• Nonholonomic mechanical systems with symmetry
• Geometric formulation of Carnot's theorem
• Mechanical systems subjected to generalized non-holonomic constraints
• A new classification of non-holonomic constraints
• Geometric formulation of mechanical systems with one-sided constraints
• Ideality criterion for unilateral constraints in time-dependent impulsive mechanics
• The Analysis of Constrained Impulsive Motion
• Rigid body collisions with friction
• THE STRUCTURES OF HAMILTONIAN MECHANICS
• On almost-Poisson structures in nonholonomic mechanics
• Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers
• Rigid-Body Dynamics with Friction and Impact
• Some perspectives on the analysis and control of complementarity systems
• On the geometry of non-holonomic Lagrangian systems

This page was built for publication: Hamiltonian theory of constrained impulsive motion