Completions of implicitly defined linear time varying vector fields
type: Item
instance of: scholarly article
title: Completions of implicitly defined linear time varying vector fields
zbMATH Open document ID: 1187.34009
author: Irfan Okay
author: Peter Kunkel
author: Stephen L. Campbell
published in: Linear Algebra and its Applications
publication date: 2009-09-14T00:00:00Z
review text: The stabilization of constraints through such techniques as Baumgarte stabilization has been used in the simulation community for some time. This and a number of control problems can be viewed as either extending, or modifying, a vector field of some manifold. Generally these approaches require the equations to have a special structure. Motivated by numerical simulation there has recently been new progress in doing this stabilization in numerically robust ways for larger classes of systems. In this paper it is point out how earlier linear time invariant results can not be immediately applied to the linear time varying case, the linear time varying case is analyzed.
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 65L80
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 5603562
zbMATH Keywords: differential algebraic equations
zbMATH Keywords: methods for differential-algebraic equation
MaRDI profile type: Publication
full work available at URL: j.laa.2009.05.006
OpenAlex ID: W2052221325
cites work: Unitary partitioning in general constraint preserving DAE integrators
cites work: Stabilization of DAEs and invariant manifolds
cites work: Stabilization of constraints and integrals of motion in dynamical systems
cites work: Q4868578
cites work: A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
cites work: Least squares completions for nonlinear differential algebraic equations
cites work: Uniqueness of completions for linear time varying differential algebraic equations
cites work: Solvability of General Differential Algebraic Equations
cites work: Q4002435
cites work: Jacobian reuse in explicit integrators for higher index DAEs
cites work: Q5708359
cites work: The additional dynamics of least squares completions for linear differential algebraic equations
DOI: 10.1016/J.LAA.2009.05.006
description: scientific article; zbMATH DE number 5603562