Differentiation of Constraints in Differential-Algebraic Equations∗

199135 citationsJournal Article

Authors

Stephen L. Campbell · North Carolina State University

Benedict Leimkuhler · Helsinki Institute for Information Technology

Abstract

ABSTRACT 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. Notes ∗Communicated by E. J. Haug.

Topics & Keywords

Numerical methods for differential equations Modeling and Simulation Systems Dynamics and Control of Mechanical Systems

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Mechanics of Structures and Machines

Volume 19, Issue 1, pp. 19-39

DOI: 10.1080/08905459108905136

Field-Weighted Citation Impact: 5.30