DocumentCode
2171392
Title
Synchronization of coupled nonlinear systems with time delay
Author
Yamamoto, Takashi ; Oguchi, Toshiki ; Nijmeijer, Henk
Author_Institution
Dept. of Mech. Eng., Tokyo Metropolitan Univ., Tokyo, Japan
fYear
2007
fDate
2-5 July 2007
Firstpage
3056
Lastpage
3061
Abstract
In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled with time-delay. Firstly, we show using the small-gain theorem that trajectories of coupled strictly semi-passive systems converge to a bounded region. Next, using this result, we derive a condition for synchronization of the systems by the Lyapunov-Krasovskii theorem. Finally we illustrate the effectiveness of the derived conditions with a numerical example.
Keywords
Lyapunov methods; delays; nonlinear control systems; synchronisation; Lyapunov-Krasovskii theorem; bidirectionally coupled identical nonlinear system synchronization; bounded region; coupled strictly semipassive system trajectories; small-gain theorem; time delay; Couplings; Delays; Mechanical engineering; Nonlinear systems; Synchronization; Trajectory; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2007 European
Conference_Location
Kos
Print_ISBN
978-3-9524173-8-6
Type
conf
Filename
7068928
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