Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/113996
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Necessary conditions for exponential stability of linear neutral type systems with multiple time delays |
Author: | Zhao, N. Zhang, X. Xue, Y. Shi, P. |
Citation: | Journal of the Franklin Institute, 2018; 355(1):458-473 |
Publisher: | Elsevier |
Issue Date: | 2018 |
ISSN: | 0016-0032 1879-2693 |
Statement of Responsibility: | Ning Zhao, Xian Zhang, Yu Xue, Peng Shi |
Abstract: | In this paper, we will give necessary conditions for the exponential stability of linear neutral type systems with multiple time delays by employing the Lyapunov–Krasovskii functional approach. These conditions not only extend the existing results of the neutral-delay-free systems, but also provide a new tool for stability analysis of linear neutral type systems with multiple time delays by characterizing instability domains. As a medium step, we will investigate several crucial properties which are involved with both the fundamental matrix and Lyapunov matrix. Numerical examples illustrate the validity of the theoretical results. |
Description: | Available online 15 December 2017 |
Rights: | © 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. |
DOI: | 10.1016/j.jfranklin.2017.11.016 |
Grant ID: | 11371006 61773131 U1509217 http://purl.org/au-research/grants/arc/DP170102644 |
Published version: | http://dx.doi.org/10.1016/j.jfranklin.2017.11.016 |
Appears in Collections: | Aurora harvest 3 Electrical and Electronic Engineering publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.