Discrete mechanics and variational integrators

JE Marsden, M West - Acta numerica, 2001 - cambridge.org
This paper gives a review of integration algorithms for finite dimensional mechanical
systems that are based on discrete variational principles. The variational technique gives a …

[图书][B] Differential-algebraic systems: Analytical aspects and circuit applications

R Riaza - 2008 - books.google.com
Differential-algebraic equations (DAEs) provide an essential tool for system modeling and
analysis within different fields of applied sciences and engineering. This book addresses …

[图书][B] Variational integrators

M West - 2004 - search.proquest.com
Variational integrators are a class of discretizations for mechanical systems which are
derived by discretizing Hamilton's principle of stationary action. They are applicable to both …

Control of discrete-time descriptor systems

AA Belov, OG Andrianova, AP Kurdyukov - Cham: Springer International …, 2018 - Springer
Descriptor linear systems theory is an important part of control systems theory and has
attracted much attention in the last decades. Many researchers pay a great attention to …

Methods for constraint violation suppression in the numerical simulation of constrained multibody systems–A comparative study

W Blajer - Computer Methods in Applied Mechanics and …, 2011 - Elsevier
Multibody systems are frequently modeled as constrained systems, and the arising
governing equations incorporate the closing constraint equations at the acceleration level …

Objective energy–momentum conserving integration for the constrained dynamics of geometrically exact beams

S Leyendecker, P Betsch, P Steinmann - Computer Methods in Applied …, 2006 - Elsevier
In this paper the results in [S. Leyendecker, P. Betsch, P. Steinmann, Energy-conserving
integration of constrained Hamiltonian systems—a comparison of approaches, Comput …

A DAE approach to flexible multibody dynamics

P Betsch, P Steinmann - Multibody system dynamics, 2002 - Springer
The present work deals with the dynamics of multibody systems consisting ofrigid bodies
and beams. Nonlinear finite element methods are used to devise a frame-indifferent …

[图书][B] Human-like biomechanics: a unified mathematical approach to human biomechanics and humanoid robotics

VG Ivancevic, TT Ivancevic - 2008 - books.google.com
Human-Like Biomechanics is a comprehensive introduction into modern geometrical
methods to be used as a unified research approach in two apparently separate and rapidly …

Singular fuzzy fractional quadratic regulator problem

M Najariyan, L Qiu - Chaos, Solitons & Fractals, 2023 - Elsevier
This study aims to create a fuzzy optimal control system for a singular fuzzy fractional
quadratic regulator problem, which is governed by singular fuzzy fractional differential …

Granular fuzzy fractional descriptor linear systems under granular caputo fuzzy fractional derivative

M Najariyan, Y Zhao - Soft Computing, 2023 - Springer
The objective of this research is to propose a fuzzy solution for a specific type of uncertain
fractional descriptor linear systems referred to as granular fractional descriptor linear …