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Relaxed stability criteria of time-varying delay systems via delay-derivative-dependent slack matrices.

Authors :
Wang, Wei
Zeng, Hong-Bing
Teo, Kok-Lay
Chen, Yu-Jie
Source :
Journal of the Franklin Institute. Jun2023, Vol. 360 Issue 9, p6099-6109. 11p.
Publication Year :
2023

Abstract

This paper is focused on delay-dependent stability problem of time-varying delay systems. By introducing delay-derivative-dependent slack matrices, relaxed stability conditions are derived based on Lyapunov-Krasovskii functional approach. As the delay-derivative-dependent slack matrices provide extra freedom to optimize the Lyapunov matrices, less conservative results are obtained. Two benchmark examples are provided to verify the effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00160032
Volume :
360
Issue :
9
Database :
Academic Search Index
Journal :
Journal of the Franklin Institute
Publication Type :
Periodical
Accession number :
164020304
Full Text :
https://doi.org/10.1016/j.jfranklin.2023.04.019