Variational Integrators for a new Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-025-10229-5
Abstract: In this work, we analyse the discretisation of a recently proposed new Lagrangian approach to optimal control problems of affine-controlled second-order differential equations with cost functions quadratic in the controls. We propose exact discrete and… read more here.
Keywords: variational integrators; control; integrators new; new lagrangian ... See more keywords
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
Applications of variational integrators to couple of linear dynamical models discussing temperature distribution and wave phenomena
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DOI: 10.1142/s0217984924504359
Abstract: Variational Integrator (VI) is a numerical technique, in which the Lagrangian of the system is used as the action integral. It is a special type of numerical solution that preserves the energy and momentum of… read more here.
Keywords: linear dynamical; variational integrators; applications variational; integrators couple ... 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