Title :
Exponential stability of switched linear systems with interval time-varying delays
Author_Institution :
Fac. of Sci., Maejo Univ., Chiangmai, Thailand
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;
Conference_Titel :
Robotics and Biomimetics (ROBIO), 2012 IEEE International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4673-2125-9
DOI :
10.1109/ROBIO.2012.6491181
