DocumentCode
2831592
Title
Augmented Lyapunov functional approach for linear systems with time-varying delay
Author
Yang, Bin ; Zhao, Weina
Author_Institution
Sch. of Control Sci. & Eng., Dalian Univ. of Technol., Dalian, China
fYear
2012
fDate
June 30 2012-July 2 2012
Firstpage
158
Lastpage
162
Abstract
This paper considers the stability of linear systems with a time-varying delay. By constructing a new augmented Lyapunov-Krasovskii functional (LKF) and proving its positive definiteness, an improved delay-dependent stability criterion in terms of LMIs is presented. An example is given to illustrate the usefulness over some existing results.
Keywords
Lyapunov methods; delays; linear matrix inequalities; linear systems; time-varying systems; LKF; LMI; augmented Lyapunov functional approach; augmented Lyapunov-Krasovskii functional; delay-dependent stability criterion; linear systems; time-varying delay; Asymptotic stability; Delay; Linear systems; Numerical stability; Stability criteria; Time varying systems; LMI; Lyapunov-Krasovskii functional; stability; time-varying delay;
fLanguage
English
Publisher
ieee
Conference_Titel
System Science and Engineering (ICSSE), 2012 International Conference on
Conference_Location
Dalian, Liaoning
Print_ISBN
978-1-4673-0944-8
Electronic_ISBN
978-1-4673-0943-1
Type
conf
DOI
10.1109/ICSSE.2012.6257168
Filename
6257168
Link To Document