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
fDate :
June 30 2012-July 2 2012
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;
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
DOI :
10.1109/ICSSE.2012.6257168
