Growth bound of delay-differential algebraic equations

This paper deals with delay-differential algebraic equations, a large class of linear and finite-memory functional differential equations. We introduce several representations of delay operators that provide a simple definition for the concept of solutions of such systems. Then we study exponential solutions and prove that the rightmost zeros of a system characteristic function determine its growth bound. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.