Title :
Necessary exponential stability conditions for scalar periodic time-delay systems
Author :
Gomez, Marco A. ; Mondie, Sabine ; Ochoa, Gilberto
Author_Institution :
Dept. de Control Automatico, CINVESTAV, Mexico City, Mexico
fDate :
Sept. 29 2014-Oct. 3 2014
Abstract :
In this paper necessary conditions for exponential stability for scalar periodic systems with one delay are presented. They are obtained in the framework of Lyapunov-Krasovskii functionals of complete type and depends exclusively on the Lyapunov delay function of the delay system.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; delays; periodic control; time-varying systems; Lyapunov delay function; Lyapunov-Krasovskii functionals; necessary exponential stability conditions; scalar periodic time-delay systems; Control theory; Delay effects; Delay systems; Delays; Equations; Stability analysis; Lyapunov-Krasovskii functionals; Periodic time delay systems; exponential stability;
Conference_Titel :
Electrical Engineering, Computing Science and Automatic Control (CCE), 2014 11th International Conference on
Conference_Location :
Campeche
Print_ISBN :
978-1-4799-6228-0
DOI :
10.1109/ICEEE.2014.6978249