Results 31 to 40 of about 16,705 (192)

Periodic motion planning for virtually constrained Euler-Lagrange systems [PDF]

, 2006
The paper suggests an explicit form of a general integral of motion for some classes of dynamical systems including n-degrees of freedom Euler-Lagrange systems subject to (n - 1) virtual holonomic constraints.
Sandberg, A,, Shiriaev, Anton,, Robertsson, A, Perram, J, Sandberg, A, Robertsson, Anders,, Shiriaev, A, Robertsson, Anders, Lund University.   +8 more
core   +1 more source

Virtual holonomic constraints for Euler-Lagrange systems [PDF]

, 2010
This paper investigates virtual holonomic constraints for Euler-Lagrange systems with n degrees-of-freedom and n − 1 controls. In our framework, a virtual holonomic constraint is a relation specifying n − 1 configuration variables in terms of a single ...
Manfredi Maggiore, CONSOLINI, Luca, Luca Consolini, M. Maggiore   +3 more
core   +1 more source

Homotopic Classification of Euler-Lagrange Systems [PDF]

, 2002
In this paper we examine the linear elliptic partial differential operators that appear as Euler-Lagrange systems of certain variational integrals. We give a sufficient condition for those systems to be deformable to the Laplace system.PublishedN/
Habre, Samer S.
core   +1 more source

Fractional Euler-Lagrange Equations Applied to Oscillatory Systems

Mathematics, 2015
In this paper, we applied the Riemann-Liouville approach and the fractional Euler-Lagrange equations in order to obtain the fractional nonlinear dynamic equations involving two classical physical applications: “Simple Pendulum” and the “Spring-Mass ...
Sergio Adriani David, Carlos Alberto Valentim   +1 more
doaj   +1 more source

Sequential Predictors for Uncertain Euler–Lagrange Systems with Large Transmission Delays

Fractal and Fractional, 2023
This paper investigates the state prediction problems for uncertain Euler–Lagrange systems with large time delays during data transmissions. A set of sequential predictors is proposed to estimate the actual real-time states of the systems by using the ...
Shaobo Shen, Liyue Fu, Aiguo Song, Tao Li   +3 more
doaj   +1 more source

Properties of Euler Diagrams [PDF]

, 2007
Euler diagrams have numerous application areas, with a large variety of languages based on them. In relation to software engineering, such areas encompass modelling and specification including from a formal perspective. In all of these application areas,
Howse, John, Rodgers, Peter, Taylor, John, Stapleton, Gem   +3 more
core   +1 more source

SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS

Forum of Mathematics, Sigma, 2018
We consider a broad class of systems of nonlinear integro-differential equations posed on the real line that arise as Euler–Lagrange equations to energies involving nonlinear nonlocal interactions.
BENTE BAKKER, ARND SCHEEL
doaj   +1 more source

Inducing Optimality in Prescribed Performance Control for Uncertain Euler–Lagrange Systems

Applied Sciences, 2023
The goal of this paper is to find a stabilizing and optimal control policy for a class of systems dictated by Euler–Lagrange dynamics, that also satisfies predetermined response criteria. The proposed methodology builds upon two stages.
Christos Vlachos, Ioanna Malli, Charalampos P. Bechlioulis, Kostas J. Kyriakopoulos   +3 more
doaj   +1 more source

Hamilton-Pontryagin Integrators on Lie Groups [PDF]

, 2007
In this thesis structure-preserving time integrators for mechanical systems whose configuration space is a Lie group are derived from a Hamilton-Pontryagin (HP) variational principle.
Bou-Rabee, Nawaf Mohammed
core   +1 more source

Higher Order Hamiltonian Systems with Generalized Legendre Transformation

Mathematics, 2018
The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found.
Dana Smetanová
doaj   +1 more source