New delay-dependent sufficient conditions for the exponential stability of linear hybrid systems with interval time-varying delays

Author

Rajchakit, Manlika ; Rajchakit, Grienggrai

Author_Institution

Major of Math. & Stat., Maejo Univ., Chiangmai, Thailand

fYear

2013

fDate

15-18 Dec. 2013

Firstpage

230

Lastpage

233

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, in which the lower bound of delay is not restricted to zero. 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.

Keywords

Lyapunov methods; asymptotic stability; continuous systems; delay systems; discrete systems; linear matrix inequalities; linear systems; time-varying systems; LMI; Leibniz-Newton´s formula; augmented Lyapunov-Krasovskii functional; delay-dependent sufficient conditions; exponential stability; interval time-varying delays; linear hybrid systems; linear matrix inequalities; switched linear systems; Delays; Manganese; Switches; Welding;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Communication Technologies (WICT), 2013 Third World Congress on

Conference_Location

Hanoi

Type

conf

DOI

10.1109/WICT.2013.7113140

Filename

7113140