Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/113750
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Necessary conditions of exponential stability for a class of linear neutral-type time-delay systems |
Author: | Zhang, X. Zhao, N. Shi, P. |
Citation: | International Journal of Control, 2019; 92(6):1289-1297 |
Publisher: | Taylor & Francis |
Issue Date: | 2019 |
ISSN: | 0020-7179 1366-5820 |
Statement of Responsibility: | Xian Zhang, Ning Zhao and Peng Shi |
Abstract: | For a class of linear neutral-type time-delay systems (NTTDSs), this paper will present necessary exponential stability conditions by employing the Lyapunov–Krasovskii functional approach. Since these conditions are represented by the Lyapunov matrix and the neutral coefficient matrix, they not only offer a novel tool for analysing stability of linear NTTDSs by characterising instability domains, but also extend the existing results of the neutral-delay-free systems. As amedium step, the relations between the Lyapunovmatrix and the fundamental matrix are characterised. The validation of the obtained results is explained by numerical examples and comparison with some existing results. |
Keywords: | Exponential stability; neutral-type time-delay systems; complete-type Lyapunov–Krasovskii functional |
Rights: | © 2017 Informa UK Limited, trading as Taylor & Francis Group |
DOI: | 10.1080/00207179.2017.1390259 |
Grant ID: | http://purl.org/au-research/grants/arc/DP170102644 |
Published version: | http://dx.doi.org/10.1080/00207179.2017.1390259 |
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.