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Stability analysis of neutral systems with mixed interval time-varying delays and nonlinear disturbances.

Authors :
Chen, Wenbin
Xu, Shengyuan
Li, Yongmin
Zhang, Zhengqiang
Source :
Journal of the Franklin Institute. Apr2020, Vol. 357 Issue 6, p3721-3740. 20p.
Publication Year :
2020

Abstract

This paper studies the problem of stability analysis for neutral systems with mixed time-varying delays and nonlinear disturbances. Improved stability criteria are obtained by applying augmented Lyapunov-Krasovskii methodology. First, a novel Lyapunov–Krasovskii functional containing the intersection relationship terms about mixed time-varying delays and their upper-lower bounds with lower bounds limited to be strictly greater than zero is fully established. Second, the upper bounds for integral terms presented are accurately estimated based on integral intervals decomposition approach. Third, a less conservative stability condition in terms of linear matrix inequality is derived by utilizing a new quadratic inequality technology. In the end, two numerical examples are given to illustrate the effectiveness and the advantages of the proposed method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00160032
Volume :
357
Issue :
6
Database :
Academic Search Index
Journal :
Journal of the Franklin Institute
Publication Type :
Periodical
Accession number :
142912694
Full Text :
https://doi.org/10.1016/j.jfranklin.2020.02.038