Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2014-41

Vu Hoang Linh and Roswitha März


Adjoints Pairs Of Differential Algebraic Equations


Abstract: This paper is devoted to the analysis of adjoint pairs of regular dierential algebraic
equations with arbitrarily high tractability index. We consider both standard form DAEs and
DAEs with properly involved derivative. After reviewing the basic structure of regular DAEs,
we investigate the common structure of factorization-adjoint pairs. We show that an adjoint
pair of regular DAEs always possesses essential underlying ODEs which are adjoint to each
other. Finally, we extend the Lyapunov exponent theory to regular DAEs with arbitrarily
high index.


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2014-41


28 pp.