New Applications of a Kind of Infinitesimal-Operator Lie Algebra
Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism.
Honwah Tam, Yufeng Zhang, Xiangzhi Zhang
doaj +1 more source
The fixed-time trajectory tracking control problem of the uncertain nonlinear Euler–Lagrange system is studied. To ensure the fast, high-precision trajectory tracking performance of this system, a non-singular terminal sliding-mode controller based on ...
Tong Li, Tianqi Chen, Liang Sun
doaj +1 more source
Methodologies and Programming Development of Applications on Modeling, Identification and Simulation
Resumen.- La modelación, simulación e identificación de prototipos permiten realizar predicciones acertadas del comportamiento de los sistemas, además de hallar las expresiones matemáticas tales como funciones de transferencia, ecuaciones diferenciales y
Patricio Burbano +2 more
doaj
This study presents a comprehensive analysis and modeling framework that integrates Mandelbrot's fractal scaling with fractional variational principles to advance the understanding of parameterization-invariant theories for mechanical systems.
Yazen M. Alawaideh +5 more
doaj +1 more source
Nonholonomic systems as restricted Euler-Lagrange systems [PDF]
We recall the notion of a nonholonomic system by means of an example of classical mechanics, namely the vertical rolling disk. For a general mechanical system with nonholonomic constraints, we present a Lagrangian formulation of the nonholonomic and ...
Mestdag, Tom, Crampin, Michael
core
Barrier Lyapunov function-based robust adaptive neural network control with dynamically adjusted activation functions for Euler-Lagrange systems under position constraints. [PDF]
Yilmaz BM.
europepmc +1 more source
LAGRANGE-HAMILTON MODEL FOR CONTROL AFFINE SYSTEMS WITH POSITIVE HOMOGENEOUS COST [PDF]
In this paper we give a new technique to obtain the Hamiltonian function in order to solve the driftless control affine systems (distributional systems) with positive homogeneous costs.
Liviu Popescu
core
Distributed Prescribed Performance Formation Tracking for Unknown Euler-Lagrange Systems Under Input Saturation. [PDF]
Gkesoulis AK +3 more
europepmc +1 more source
Residual-learning-enhanced extended Kalman filter for real-time swing angle estimation in quadrotor-suspended-payload systems. [PDF]
Zhang Y, Shen J, Qiu H, Sha M.
europepmc +1 more source
Metadensity Functional Learning for Classical Fluids: Regularizing with Pair Correlations. [PDF]
Kampa SM, Sammüller F, Schmidt M.
europepmc +1 more source

