Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/118474
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | New delay range–dependent stability criteria for interval time-varying delay systems via Wirtinger-based inequalities |
Author: | Mohajerpoor, R. Shanmugam, L. Abdi, H. Rakkiyappan, R. Nahavandi, S. Shi, P. |
Citation: | International Journal of Robust and Nonlinear Control, 2018; 28(2):661-677 |
Publisher: | Wiley |
Issue Date: | 2018 |
ISSN: | 1049-8923 1099-1239 |
Statement of Responsibility: | Reza Mohajerpoor, Lakshmanan Shanmugam, Hamid Abdi, Rajan Rakkiyappan, Saeid Nahavandi, Peng Shi |
Abstract: | Stability conditions for time‐delay systems using the Lyapunov‐based methodologies are generically expressed in terms of linear matrix inequalities. However, due to assuming restrictive conditions in deriving the linear matrix inequalities, the established stability conditions can be strictly conservative. This paper attempts to relax this problem for linear systems with interval time‐varying delays. A double‐integral inequality is derived inspired by Wirtinger‐based single‐integral inequality. Using the advanced integral inequalities, the reciprocally convex combination techniques and necessary slack variables, together with extracting a condition for the positive definiteness of the Lyapunov functional, novel stability criteria, have been established for the system. The effectiveness of the criteria is evaluated via 2 numerical examples. The results indicate that more complex stability criteria not only improve the stability region but also bring computational expenses. |
Keywords: | Interval time‐varying delay; linear matrix inequality; Lyapunov Krasovskii method; Wirtinger‐based integral inequalities |
Rights: | © 2017 John Wiley & Sons, Ltd. |
DOI: | 10.1002/rnc.3893 |
Published version: | http://dx.doi.org/10.1002/rnc.3893 |
Appears in Collections: | Aurora harvest 4 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.