Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints
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DOI: 10.1007/s10444-017-9520-5
Abstract: In this work, variational integrators of higher order for dynamical systems with holonomic constraints are constructed and analyzed. The construction is based on approximating the configuration and the Lagrange multiplier via different polynomials. The splitting… read more here.
Keywords: order; analysis; variational integrators; higher order ... See more keywords
Lagrangian and Hamiltonian Taylor variational integrators
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DOI: 10.1007/s10543-017-0690-9
Abstract: In this paper, we present a variational integrator that is based on an approximation of the Euler–Lagrange boundary-value problem via Taylor’s method. This can be viewed as a special case of the shooting-based variational integrator.… read more here.
Keywords: lagrangian hamiltonian; variational integrators; variational integrator; method ... See more keywords
Forced Variational Integrators for the Formation Control of Multiagent Systems
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DOI: 10.1109/tcns.2021.3065635
Abstract: Formation control of autonomous agents can be seen as a physical system of individuals interacting with local potentials, and whose evolution can be described by a Lagrangian function. In this article, we construct and implement… read more here.
Keywords: forced variational; control; formation control; variational integrators ... See more keywords
Performance Assessment of Variational Integrators for Thermomechanical Problems
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DOI: 10.2478/jtam-2018-0008
Abstract: Abstract Structure-preserving integrators are in the focus of ongoing research because of their distinguished features of robustness and long time stability. In particular, their formulation for coupled problems that include dissipative mechanisms is still an… read more here.
Keywords: thermomechanical problems; assessment variational; variational integrators; performance assessment ... See more keywords