Nonholonomic systems with inequality constraints

DOI10.1007/978-3-031-38299-4_11arXiv2302.02616MaRDI QIDQ6138219

Leonardo Colombo, Alexandre Anahory Simoes

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.02616

zbMATH Keywords

variational integratorcontinuous-time formulationdiscrete-time formulationtime-variational principle

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Cites Work

• Geometric control and numerical aspects of nonholonomic 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.
• Mechanical systems subjected to generalized non-holonomic constraints
• Non-holonomic integrators
• Nonsmooth Lagrangian Mechanics and Variational Collision Integrators
• Geometric Numerical Integration of Inequality Constrained, Nonsmooth Hamiltonian Systems
• Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability
• On the geometry of non-holonomic Lagrangian systems

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