In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled with timedelay. 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.
|Title of host publication||Proceedings of the European Control Conference (ECC'07), 2-5 July 2007, Kos, Greece|
|Place of Publication||Greece, Kos|
|Publication status||Published - 2007|