Solution of systems of linear delay differential equations via laplace transformation

Sun Yi, A. Galip Ulsoy, Patrick W. Nelson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An approach using the Lambert W function for the analytical solution, free and forced, to systems of delay differential equations with a single delay has been developed in [8], [9]. The solution is expressed in the form of an infinite series of modes written in terms of the matrix Lambert W function. In this paper, we utilize the analytical solution to present a solution in the Laplace domain, present validation examples, and emphasize the analogy of the solution method to systems of ordinary differential equations. © 2006 IEEE.
Original languageEnglish
Title of host publication45th IEEE Conference on Decision and Control 2006, CDC
DOIs
StatePublished - 2006

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