Improved stability conditions of time-varying delay systems based on new Lyapunov functionals

This paper is concerned with the stability analysis of time-varying delay systems. Unlike the construction of augmented Lyapunov functional and multiple integral Lyapunov functional, novel three Lyapunov functionals are suggested which are delay product type functions and lead to less conservative r...

Full description

Saved in:
Bibliographic Details
Published inJournal of the Franklin Institute Vol. 355; no. 3; pp. 1176 - 1191
Main Authors Lee, Tae H., Park, Ju H.
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.02.2018
Elsevier Science Ltd
Subjects
Delay
Delay time analysis
Functionals
Numerical analysis
Stability analysis
Stability augmentation
Stability criteria
Systems stability
Theorems
Online AccessGet full text

Cover

More Information
Summary:This paper is concerned with the stability analysis of time-varying delay systems. Unlike the construction of augmented Lyapunov functional and multiple integral Lyapunov functional, novel three Lyapunov functionals are suggested which are delay product type functions and lead to less conservative results. Based on newly developed Lyapunov functionals, three stability criteria are derived and their superiority is described by three numerical examples.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2017.12.014