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Variational integrator

Variational integrators are numerical integrators for Hamiltonian systems derived from the Euler–Lagrange equations of a discretized Hamilton's… 
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Related topics

Related topics

4 relations
Hamilton's principleLeapfrog integrationList of numerical analysis topicsSymplectic integrator

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
A Moreau‐type Variational Integrator
In this paper we derive a variational integrator for nonsmooth mechanical systems by discretizing the principle of virtual action… 
2015
2015
Comparison of an attitude estimator based on the Lagrange-d'Alembert principle with some state-of-the-art filters
Discrete-time estimation of rigid body attitude and angular velocity without any knowledge of the attitude dynamics model, is… 
2014
2014
Lagrangian mechanics and Lie group variational integrators for spacecraft with imbalanced reaction wheels
This paper presents an analytic dynamic model and a geometric numerical integrator for spacecraft with reaction wheel assemblies… 
2014
2014
Stability Analysis and Variational Integrator for Real-Time Formation Based on Potential Field
This paper investigates a framework of real-time formation of autonomous vehicles by using potential field and variational… 
2013
2013
Geometric approach to attitude dynamics and control of spacecraft with variable speed control moment gyroscopes
The attitude dynamics of a spacecraft with a variable speed control moment gyroscope (VSCMG), in the presence of conservative… 
2011
2011
Satellite Dynamics Simulator Development Using Lie Group Variational Integrator
Simulation technology is becoming increasingly crucial in the design and optimization of satellites due to the difficulties in… 
2010
2010
Discrete-Time Modeling and Control of an Under-actuated Robotic System
In this work a discrete-time model for the Pendubot is proposed based on the symplectic Euler method. Then, a discrete-time… 
2010
2010
Geometric numerical integration for complex dynamics of tethered spacecraft
This paper presents an analytical model and a geometric numerical integrator for a tethered spacecraft model that is composed of… 
2009
2009
Long-Run Behavior of Variational Integrators in the Stochastic Context
This paper presents a Lie-Trotter splitting for inertial Langevin equations (Geometric Langevin Algorithm) and analyzes its long… 
Review
2009
Review
2009
Hamilton-Pontryagin variational integrators
In this paper we discuss the applications of the Hamilton-Pontryagin variational principle for designing time-adaptive… 
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