DocumentCode
1838380
Title
Exponential stability of switched linear systems with interval time-varying delays
Author
Rajchakit, G.
Author_Institution
Fac. of Sci., Maejo Univ., Chiangmai, Thailand
fYear
2012
fDate
11-14 Dec. 2012
Firstpage
1502
Lastpage
1506
Abstract
This paper is concerned with exponential stability of switched linear systems with interval time-varying delays. The time delay is any continuous function belonging to a given interval. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton´s formula, a switching rule for the exponential stability of switched linear systems with interval time-varying delays and new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of LMIs. Numerical example is included to illustrate the effectiveness of the results.
Keywords
Lyapunov methods; Newton method; asymptotic stability; delays; linear matrix inequalities; linear systems; time-varying systems; LMI; Leibniz-Newton formula; augmented Lyapunov-Krasovskii functional; continuous function; delay-dependent sufficient conditions; exponential stability; interval time-varying delays; linear matrix inequalities; neutral system; switched linear systems; switching rule; time delay;
fLanguage
English
Publisher
ieee
Conference_Titel
Robotics and Biomimetics (ROBIO), 2012 IEEE International Conference on
Conference_Location
Guangzhou
Print_ISBN
978-1-4673-2125-9
Type
conf
DOI
10.1109/ROBIO.2012.6491181
Filename
6491181
Link To Document