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Growth bound of delay-differential algebraic equations

Abstract : 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.
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Contributor : Sébastien Boisgérault Connect in order to contact the contributor
Submitted on : Monday, October 28, 2013 - 2:45:58 PM
Last modification on : Friday, November 26, 2021 - 6:20:32 PM



Sébastien Boisgérault. Growth bound of delay-differential algebraic equations. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2013, 351 (15-16), pp.645-648. ⟨10.1016/j.crma.2013.08.001⟩. ⟨hal-00877419⟩



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