Solution of systems of linear delay differential equations via laplace transformation

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

doi:10.1109/cdc.2006.377712

Solution of systems of linear delay differential equations via laplace transformation

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

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	45th IEEE Conference on Decision and Control 2006, CDC
DOIs	https://doi.org/10.1109/cdc.2006.377712
State	Published - 2006

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10.1109/cdc.2006.377712

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title = "Solution of systems of linear delay differential equations via laplace transformation",

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. {\textcopyright} 2006 IEEE.",

author = "Sun Yi and Ulsoy, \{A. Galip\} and Nelson, \{Patrick W.\}",

year = "2006",

doi = "10.1109/cdc.2006.377712",

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AU - Ulsoy, A. Galip

AU - Nelson, Patrick W.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - https://dx.doi.org/10.1109/cdc.2006.377712

U2 - 10.1109/cdc.2006.377712

DO - 10.1109/cdc.2006.377712

M3 - Conference contribution

BT - 45th IEEE Conference on Decision and Control 2006, CDC

ER -

Solution of systems of linear delay differential equations via laplace transformation

Abstract

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