Comments on: "Lyapunov matrices for a class of time delay systems" by V. L. Kharitonov
Systems and Control
2018-02-21 v1 Optimization and Control
Abstract
We prove that an auxiliary two-point boundary value problem presented in V. L. Kharitonov, Lyapunov matrices for a class of time delay systems, Systems & Control Letters 55 (2006) 610-617 has linearly dependent boundary conditions, and consequently a unique solution does not exist. Therefore, the two-point boundary value problem presented therein fails to be a basis for constructing Lyapunov matrices for the class of time delay systems investigated.
Keywords
Cite
@article{arxiv.1802.06831,
title = {Comments on: "Lyapunov matrices for a class of time delay systems" by V. L. Kharitonov},
author = {Murad Abu-Khalaf and Suat Gumussoy},
journal= {arXiv preprint arXiv:1802.06831},
year = {2018}
}