Time response of a scalar dynamical system with multiple delays via Lambert W functions
Dynamical Systems
2016-10-05 v2
Abstract
In this work, we establish the response of scalar systems with multiple discrete delays based on the Laplace transform. The time response function is expressed as the sum of infinite series of exponentials acting on eigenvalues inside countable branches of the Lambert W functions. Eigenvalues in each branch of Lambert W function are computed by a numerical iteration. Numerical examples are presented to illustrate the results obtained.
Cite
@article{arxiv.1609.02034,
title = {Time response of a scalar dynamical system with multiple delays via Lambert W functions},
author = {Shuo-Tsung Chen and Shun-Pin Hsu and Huang-Nan Huang and Bin-Yan Yang},
journal= {arXiv preprint arXiv:1609.02034},
year = {2016}
}
Comments
24 pages, 13 figures