Differentiation of Constraints in Differential-Algebraic Equations∗

1 January 1991

journal article
research article
Published by Taylor & Francis in Mechanics of Structures and Machines

Vol. 19 (1) , 19-39
https://doi.org/10.1080/08905459108905136

Abstract

Differentiation of constraints that appear in differential-algebraic equations (DAEs) has been advocated for many purposes, ranging from index reduction for numerical purposes to systems inversion in control theory. In this paper, the numerical and analytic consequences of such differentiations are studied and criteria are established for when difficulties can occur.

Keywords

This publication has 6 references indexed in Scilit:

Stabilization of constraints and integrals of motion in dynamical systems
Published by Elsevier ,2003
Differential-Algebraic Equation Index Transformations
SIAM Journal on Scientific and Statistical Computing, 1988
Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations
Applied Numerical Mathematics, 1987
Maintaining Solution Invariants in the Numerical Solution of ODEs
SIAM Journal on Scientific and Statistical Computing, 1986
Mathematical Methods of Classical Mechanics
Published by Springer Nature ,1978
Inversion of multivariable linear systems
IEEE Transactions on Automatic Control, 1969